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Finding the Fourth Proportional to 9,973.96, 13,765.98 and 5,727.52

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Solution

The fourth proportional to 9,973.96, 13,765.98 and 5,727.52 is: 7,905.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.96 : 13,765.98 = 5,727.52 : x
  2. Step 2: Convert to fraction form
    9,973.96/13,765.98 = 5,727.52/x
  3. Step 3: Cross multiply
    9,973.96x = 13,765.98 × 5,727.52
  4. Step 4: Simplify right side
    9,973.96x = 78,844,925.77
  5. Step 5: Solve for x
    x = 78,844,925.77/9,973.96
  6. Step 6: Final answer
    x = 7,905.08

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