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Finding the Fourth Proportional to 6,475.30, 9,720.15 and 6,052.30

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Solution

The fourth proportional to 6,475.30, 9,720.15 and 6,052.30 is: 9,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.30 : 9,720.15 = 6,052.30 : x
  2. Step 2: Convert to fraction form
    6,475.30/9,720.15 = 6,052.30/x
  3. Step 3: Cross multiply
    6,475.30x = 9,720.15 × 6,052.30
  4. Step 4: Simplify right side
    6,475.30x = 58,829,263.85
  5. Step 5: Solve for x
    x = 58,829,263.85/6,475.30
  6. Step 6: Final answer
    x = 9,085.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.