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Finding the Fourth Proportional to 6,125.60, 9,199.20 and 4,742.30

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Solution

The fourth proportional to 6,125.60, 9,199.20 and 4,742.30 is: 7,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.60 : 9,199.20 = 4,742.30 : x
  2. Step 2: Convert to fraction form
    6,125.60/9,199.20 = 4,742.30/x
  3. Step 3: Cross multiply
    6,125.60x = 9,199.20 × 4,742.30
  4. Step 4: Simplify right side
    6,125.60x = 43,625,366.16
  5. Step 5: Solve for x
    x = 43,625,366.16/6,125.60
  6. Step 6: Final answer
    x = 7,121.81

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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.