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Finding the Fourth Proportional to 6,092.78, 9,139.14 and 1,475.78

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Solution

The fourth proportional to 6,092.78, 9,139.14 and 1,475.78 is: 2,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.78 : 9,139.14 = 1,475.78 : x
  2. Step 2: Convert to fraction form
    6,092.78/9,139.14 = 1,475.78/x
  3. Step 3: Cross multiply
    6,092.78x = 9,139.14 × 1,475.78
  4. Step 4: Simplify right side
    6,092.78x = 13,487,360.03
  5. Step 5: Solve for x
    x = 13,487,360.03/6,092.78
  6. Step 6: Final answer
    x = 2,213.66

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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.