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Finding the Fourth Proportional to 9,706.61, 13,399.32 and 6,124.79

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Solution

The fourth proportional to 9,706.61, 13,399.32 and 6,124.79 is: 8,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.61 : 13,399.32 = 6,124.79 : x
  2. Step 2: Convert to fraction form
    9,706.61/13,399.32 = 6,124.79/x
  3. Step 3: Cross multiply
    9,706.61x = 13,399.32 × 6,124.79
  4. Step 4: Simplify right side
    9,706.61x = 82,067,954.15
  5. Step 5: Solve for x
    x = 82,067,954.15/9,706.61
  6. Step 6: Final answer
    x = 8,454.86

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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.