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Finding the Fourth Proportional to 7,038.72, 9,704.60 and 5,148.78

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Solution

The fourth proportional to 7,038.72, 9,704.60 and 5,148.78 is: 7,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.72 : 9,704.60 = 5,148.78 : x
  2. Step 2: Convert to fraction form
    7,038.72/9,704.60 = 5,148.78/x
  3. Step 3: Cross multiply
    7,038.72x = 9,704.60 × 5,148.78
  4. Step 4: Simplify right side
    7,038.72x = 49,966,850.39
  5. Step 5: Solve for x
    x = 49,966,850.39/7,038.72
  6. Step 6: Final answer
    x = 7,098.85

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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.