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Finding the Fourth Proportional to 9,909.97, 13,677.15 and 6,134.35

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Solution

The fourth proportional to 9,909.97, 13,677.15 and 6,134.35 is: 8,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.97 : 13,677.15 = 6,134.35 : x
  2. Step 2: Convert to fraction form
    9,909.97/13,677.15 = 6,134.35/x
  3. Step 3: Cross multiply
    9,909.97x = 13,677.15 × 6,134.35
  4. Step 4: Simplify right side
    9,909.97x = 83,900,425.10
  5. Step 5: Solve for x
    x = 83,900,425.10/9,909.97
  6. Step 6: Final answer
    x = 8,466.26

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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.