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Finding the Fourth Proportional to 9,411.12, 14,104.77 and 9,165.86

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Solution

The fourth proportional to 9,411.12, 14,104.77 and 9,165.86 is: 13,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.12 : 14,104.77 = 9,165.86 : x
  2. Step 2: Convert to fraction form
    9,411.12/14,104.77 = 9,165.86/x
  3. Step 3: Cross multiply
    9,411.12x = 14,104.77 × 9,165.86
  4. Step 4: Simplify right side
    9,411.12x = 129,282,295.15
  5. Step 5: Solve for x
    x = 129,282,295.15/9,411.12
  6. Step 6: Final answer
    x = 13,737.18

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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.