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Finding the Fourth Proportional to 9,715.88, 13,414.02 and 6,730.61

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Solution

The fourth proportional to 9,715.88, 13,414.02 and 6,730.61 is: 9,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.88 : 13,414.02 = 6,730.61 : x
  2. Step 2: Convert to fraction form
    9,715.88/13,414.02 = 6,730.61/x
  3. Step 3: Cross multiply
    9,715.88x = 13,414.02 × 6,730.61
  4. Step 4: Simplify right side
    9,715.88x = 90,284,537.15
  5. Step 5: Solve for x
    x = 90,284,537.15/9,715.88
  6. Step 6: Final answer
    x = 9,292.47

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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.