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Finding the Fourth Proportional to 9,677.74, 13,352.88 and 6,139.66

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Solution

The fourth proportional to 9,677.74, 13,352.88 and 6,139.66 is: 8,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.74 : 13,352.88 = 6,139.66 : x
  2. Step 2: Convert to fraction form
    9,677.74/13,352.88 = 6,139.66/x
  3. Step 3: Cross multiply
    9,677.74x = 13,352.88 × 6,139.66
  4. Step 4: Simplify right side
    9,677.74x = 81,982,143.22
  5. Step 5: Solve for x
    x = 81,982,143.22/9,677.74
  6. Step 6: Final answer
    x = 8,471.21

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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.