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Finding the Fourth Proportional to 7,037.46, 9,702.96 and 4,515.42

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Solution

The fourth proportional to 7,037.46, 9,702.96 and 4,515.42 is: 6,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.46 : 9,702.96 = 4,515.42 : x
  2. Step 2: Convert to fraction form
    7,037.46/9,702.96 = 4,515.42/x
  3. Step 3: Cross multiply
    7,037.46x = 9,702.96 × 4,515.42
  4. Step 4: Simplify right side
    7,037.46x = 43,812,939.64
  5. Step 5: Solve for x
    x = 43,812,939.64/7,037.46
  6. Step 6: Final answer
    x = 6,225.68

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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.