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Finding the Fourth Proportional to 6,125.52, 9,189.98 and 1,743

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Solution

The fourth proportional to 6,125.52, 9,189.98 and 1,743 is: 2,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.52 : 9,189.98 = 1,743 : x
  2. Step 2: Convert to fraction form
    6,125.52/9,189.98 = 1,743/x
  3. Step 3: Cross multiply
    6,125.52x = 9,189.98 × 1,743
  4. Step 4: Simplify right side
    6,125.52x = 16,018,135.14
  5. Step 5: Solve for x
    x = 16,018,135.14/6,125.52
  6. Step 6: Final answer
    x = 2,614.98

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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.