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Finding the Fourth Proportional to 9,382.17, 14,068.53 and 3,534.69

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Solution

The fourth proportional to 9,382.17, 14,068.53 and 3,534.69 is: 5,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.17 : 14,068.53 = 3,534.69 : x
  2. Step 2: Convert to fraction form
    9,382.17/14,068.53 = 3,534.69/x
  3. Step 3: Cross multiply
    9,382.17x = 14,068.53 × 3,534.69
  4. Step 4: Simplify right side
    9,382.17x = 49,727,892.31
  5. Step 5: Solve for x
    x = 49,727,892.31/9,382.17
  6. Step 6: Final answer
    x = 5,300.25

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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.