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Finding the Fourth Proportional to 9,139.55, 13,714.81 and 3,945.42

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Solution

The fourth proportional to 9,139.55, 13,714.81 and 3,945.42 is: 5,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.55 : 13,714.81 = 3,945.42 : x
  2. Step 2: Convert to fraction form
    9,139.55/13,714.81 = 3,945.42/x
  3. Step 3: Cross multiply
    9,139.55x = 13,714.81 × 3,945.42
  4. Step 4: Simplify right side
    9,139.55x = 54,110,685.67
  5. Step 5: Solve for x
    x = 54,110,685.67/9,139.55
  6. Step 6: Final answer
    x = 5,920.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.