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Finding the Fourth Proportional to 9,661.25, 14,465.52 and 7,314.15

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Solution

The fourth proportional to 9,661.25, 14,465.52 and 7,314.15 is: 10,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.25 : 14,465.52 = 7,314.15 : x
  2. Step 2: Convert to fraction form
    9,661.25/14,465.52 = 7,314.15/x
  3. Step 3: Cross multiply
    9,661.25x = 14,465.52 × 7,314.15
  4. Step 4: Simplify right side
    9,661.25x = 105,802,983.11
  5. Step 5: Solve for x
    x = 105,802,983.11/9,661.25
  6. Step 6: Final answer
    x = 10,951.28

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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.