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Finding the Fourth Proportional to 9,822.03, 14,739.57 and 5,870.40

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Solution

The fourth proportional to 9,822.03, 14,739.57 and 5,870.40 is: 8,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.03 : 14,739.57 = 5,870.40 : x
  2. Step 2: Convert to fraction form
    9,822.03/14,739.57 = 5,870.40/x
  3. Step 3: Cross multiply
    9,822.03x = 14,739.57 × 5,870.40
  4. Step 4: Simplify right side
    9,822.03x = 86,527,171.73
  5. Step 5: Solve for x
    x = 86,527,171.73/9,822.03
  6. Step 6: Final answer
    x = 8,809.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.