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Finding the Fourth Proportional to 9,146.88, 13,717.08 and 3,600

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Solution

The fourth proportional to 9,146.88, 13,717.08 and 3,600 is: 5,398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.88 : 13,717.08 = 3,600 : x
  2. Step 2: Convert to fraction form
    9,146.88/13,717.08 = 3,600/x
  3. Step 3: Cross multiply
    9,146.88x = 13,717.08 × 3,600
  4. Step 4: Simplify right side
    9,146.88x = 49,381,488
  5. Step 5: Solve for x
    x = 49,381,488/9,146.88
  6. Step 6: Final answer
    x = 5,398.72

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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.