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Finding the Fourth Proportional to 9,715.76, 13,406.10 and 5,735.42

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Solution

The fourth proportional to 9,715.76, 13,406.10 and 5,735.42 is: 7,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.76 : 13,406.10 = 5,735.42 : x
  2. Step 2: Convert to fraction form
    9,715.76/13,406.10 = 5,735.42/x
  3. Step 3: Cross multiply
    9,715.76x = 13,406.10 × 5,735.42
  4. Step 4: Simplify right side
    9,715.76x = 76,889,614.06
  5. Step 5: Solve for x
    x = 76,889,614.06/9,715.76
  6. Step 6: Final answer
    x = 7,913.91

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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.