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Finding the Fourth Proportional to 6,147.47, 8,462.18 and 4,652.75

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Solution

The fourth proportional to 6,147.47, 8,462.18 and 4,652.75 is: 6,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.47 : 8,462.18 = 4,652.75 : x
  2. Step 2: Convert to fraction form
    6,147.47/8,462.18 = 4,652.75/x
  3. Step 3: Cross multiply
    6,147.47x = 8,462.18 × 4,652.75
  4. Step 4: Simplify right side
    6,147.47x = 39,372,408.00
  5. Step 5: Solve for x
    x = 39,372,408.00/6,147.47
  6. Step 6: Final answer
    x = 6,404.65

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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.