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Finding the Fourth Proportional to 9,118.50, 12,585.36 and 5,139.66

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Solution

The fourth proportional to 9,118.50, 12,585.36 and 5,139.66 is: 7,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.50 : 12,585.36 = 5,139.66 : x
  2. Step 2: Convert to fraction form
    9,118.50/12,585.36 = 5,139.66/x
  3. Step 3: Cross multiply
    9,118.50x = 12,585.36 × 5,139.66
  4. Step 4: Simplify right side
    9,118.50x = 64,684,471.38
  5. Step 5: Solve for x
    x = 64,684,471.38/9,118.50
  6. Step 6: Final answer
    x = 7,093.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.