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Finding the Fourth Proportional to 6,520.59, 9,758.64 and 4,147.47

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Solution

The fourth proportional to 6,520.59, 9,758.64 and 4,147.47 is: 6,207.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.59 : 9,758.64 = 4,147.47 : x
  2. Step 2: Convert to fraction form
    6,520.59/9,758.64 = 4,147.47/x
  3. Step 3: Cross multiply
    6,520.59x = 9,758.64 × 4,147.47
  4. Step 4: Simplify right side
    6,520.59x = 40,473,666.64
  5. Step 5: Solve for x
    x = 40,473,666.64/6,520.59
  6. Step 6: Final answer
    x = 6,207.06

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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.