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Finding the Fourth Proportional to 9,138.76, 13,689.84 and 4,201.66

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Solution

The fourth proportional to 9,138.76, 13,689.84 and 4,201.66 is: 6,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.76 : 13,689.84 = 4,201.66 : x
  2. Step 2: Convert to fraction form
    9,138.76/13,689.84 = 4,201.66/x
  3. Step 3: Cross multiply
    9,138.76x = 13,689.84 × 4,201.66
  4. Step 4: Simplify right side
    9,138.76x = 57,520,053.13
  5. Step 5: Solve for x
    x = 57,520,053.13/9,138.76
  6. Step 6: Final answer
    x = 6,294.08

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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.