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Finding the Fourth Proportional to 6,049.17, 9,073.76 and 1,666.63

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Solution

The fourth proportional to 6,049.17, 9,073.76 and 1,666.63 is: 2,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.17 : 9,073.76 = 1,666.63 : x
  2. Step 2: Convert to fraction form
    6,049.17/9,073.76 = 1,666.63/x
  3. Step 3: Cross multiply
    6,049.17x = 9,073.76 × 1,666.63
  4. Step 4: Simplify right side
    6,049.17x = 15,122,569.61
  5. Step 5: Solve for x
    x = 15,122,569.61/6,049.17
  6. Step 6: Final answer
    x = 2,499.94

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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.