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Finding the Fourth Proportional to 9,411.38, 14,097.93 and 7,552.43

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Solution

The fourth proportional to 9,411.38, 14,097.93 and 7,552.43 is: 11,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.38 : 14,097.93 = 7,552.43 : x
  2. Step 2: Convert to fraction form
    9,411.38/14,097.93 = 7,552.43/x
  3. Step 3: Cross multiply
    9,411.38x = 14,097.93 × 7,552.43
  4. Step 4: Simplify right side
    9,411.38x = 106,473,629.47
  5. Step 5: Solve for x
    x = 106,473,629.47/9,411.38
  6. Step 6: Final answer
    x = 11,313.29

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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.