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Finding the Fourth Proportional to 7,037.46, 9,702.89 and 5,147.52

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Solution

The fourth proportional to 7,037.46, 9,702.89 and 5,147.52 is: 7,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.46 : 9,702.89 = 5,147.52 : x
  2. Step 2: Convert to fraction form
    7,037.46/9,702.89 = 5,147.52/x
  3. Step 3: Cross multiply
    7,037.46x = 9,702.89 × 5,147.52
  4. Step 4: Simplify right side
    7,037.46x = 49,945,794.60
  5. Step 5: Solve for x
    x = 49,945,794.60/7,037.46
  6. Step 6: Final answer
    x = 7,097.13

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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.