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Finding the Fourth Proportional to 9,982,710.81, 13,776,770.93 and 5,630,209.02

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Solution

The fourth proportional to 9,982,710.81, 13,776,770.93 and 5,630,209.02 is: 7,770,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,710.81 : 13,776,770.93 = 5,630,209.02 : x
  2. Step 2: Convert to fraction form
    9,982,710.81/13,776,770.93 = 5,630,209.02/x
  3. Step 3: Cross multiply
    9,982,710.81x = 13,776,770.93 × 5,630,209.02
  4. Step 4: Simplify right side
    9,982,710.81x = 77,566,099,928,408.73
  5. Step 5: Solve for x
    x = 77,566,099,928,408.73/9,982,710.81
  6. Step 6: Final answer
    x = 7,770,043.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.