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Finding the Fourth Proportional to 9,434.61, 14,140.17 and 8,262.14

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Solution

The fourth proportional to 9,434.61, 14,140.17 and 8,262.14 is: 12,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.61 : 14,140.17 = 8,262.14 : x
  2. Step 2: Convert to fraction form
    9,434.61/14,140.17 = 8,262.14/x
  3. Step 3: Cross multiply
    9,434.61x = 14,140.17 × 8,262.14
  4. Step 4: Simplify right side
    9,434.61x = 116,827,993.46
  5. Step 5: Solve for x
    x = 116,827,993.46/9,434.61
  6. Step 6: Final answer
    x = 12,382.92

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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.