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Finding the Fourth Proportional to 9,475.67, 14,213.60 and 6,209.53

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Solution

The fourth proportional to 9,475.67, 14,213.60 and 6,209.53 is: 9,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.67 : 14,213.60 = 6,209.53 : x
  2. Step 2: Convert to fraction form
    9,475.67/14,213.60 = 6,209.53/x
  3. Step 3: Cross multiply
    9,475.67x = 14,213.60 × 6,209.53
  4. Step 4: Simplify right side
    9,475.67x = 88,259,775.61
  5. Step 5: Solve for x
    x = 88,259,775.61/9,475.67
  6. Step 6: Final answer
    x = 9,314.36

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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.