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Finding the Fourth Proportional to 6,125.60, 9,190.80 and 2,427.20

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Solution

The fourth proportional to 6,125.60, 9,190.80 and 2,427.20 is: 3,641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.60 : 9,190.80 = 2,427.20 : x
  2. Step 2: Convert to fraction form
    6,125.60/9,190.80 = 2,427.20/x
  3. Step 3: Cross multiply
    6,125.60x = 9,190.80 × 2,427.20
  4. Step 4: Simplify right side
    6,125.60x = 22,307,909.76
  5. Step 5: Solve for x
    x = 22,307,909.76/6,125.60
  6. Step 6: Final answer
    x = 3,641.75

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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.