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Finding the Fourth Proportional to 9,891.29, 13,643.84 and 6,115.61

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Solution

The fourth proportional to 9,891.29, 13,643.84 and 6,115.61 is: 8,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.29 : 13,643.84 = 6,115.61 : x
  2. Step 2: Convert to fraction form
    9,891.29/13,643.84 = 6,115.61/x
  3. Step 3: Cross multiply
    9,891.29x = 13,643.84 × 6,115.61
  4. Step 4: Simplify right side
    9,891.29x = 83,440,373.76
  5. Step 5: Solve for x
    x = 83,440,373.76/9,891.29
  6. Step 6: Final answer
    x = 8,435.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.