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Finding the Fourth Proportional to 9,951.52, 14,914.32 and 7,463.20

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Solution

The fourth proportional to 9,951.52, 14,914.32 and 7,463.20 is: 11,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.52 : 14,914.32 = 7,463.20 : x
  2. Step 2: Convert to fraction form
    9,951.52/14,914.32 = 7,463.20/x
  3. Step 3: Cross multiply
    9,951.52x = 14,914.32 × 7,463.20
  4. Step 4: Simplify right side
    9,951.52x = 111,308,553.02
  5. Step 5: Solve for x
    x = 111,308,553.02/9,951.52
  6. Step 6: Final answer
    x = 11,185.08

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