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Finding the Fourth Proportional to 7,037.20, 9,715.08 and 6,638.80

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Solution

The fourth proportional to 7,037.20, 9,715.08 and 6,638.80 is: 9,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.20 : 9,715.08 = 6,638.80 : x
  2. Step 2: Convert to fraction form
    7,037.20/9,715.08 = 6,638.80/x
  3. Step 3: Cross multiply
    7,037.20x = 9,715.08 × 6,638.80
  4. Step 4: Simplify right side
    7,037.20x = 64,496,473.10
  5. Step 5: Solve for x
    x = 64,496,473.10/7,037.20
  6. Step 6: Final answer
    x = 9,165.08

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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.