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Finding the Fourth Proportional to 9,715.92, 13,406.40 and 5,736.48

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Solution

The fourth proportional to 9,715.92, 13,406.40 and 5,736.48 is: 7,915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.92 : 13,406.40 = 5,736.48 : x
  2. Step 2: Convert to fraction form
    9,715.92/13,406.40 = 5,736.48/x
  3. Step 3: Cross multiply
    9,715.92x = 13,406.40 × 5,736.48
  4. Step 4: Simplify right side
    9,715.92x = 76,905,545.47
  5. Step 5: Solve for x
    x = 76,905,545.47/9,715.92
  6. Step 6: Final answer
    x = 7,915.42

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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.