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Finding the Fourth Proportional to 6,132.49, 9,201.56 and 4,743.74

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Solution

The fourth proportional to 6,132.49, 9,201.56 and 4,743.74 is: 7,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.49 : 9,201.56 = 4,743.74 : x
  2. Step 2: Convert to fraction form
    6,132.49/9,201.56 = 4,743.74/x
  3. Step 3: Cross multiply
    6,132.49x = 9,201.56 × 4,743.74
  4. Step 4: Simplify right side
    6,132.49x = 43,649,808.23
  5. Step 5: Solve for x
    x = 43,649,808.23/6,132.49
  6. Step 6: Final answer
    x = 7,117.80

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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.