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Finding the Fourth Proportional to 9,921.38, 13,691.48 and 5,445.40

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Solution

The fourth proportional to 9,921.38, 13,691.48 and 5,445.40 is: 7,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.38 : 13,691.48 = 5,445.40 : x
  2. Step 2: Convert to fraction form
    9,921.38/13,691.48 = 5,445.40/x
  3. Step 3: Cross multiply
    9,921.38x = 13,691.48 × 5,445.40
  4. Step 4: Simplify right side
    9,921.38x = 74,555,585.19
  5. Step 5: Solve for x
    x = 74,555,585.19/9,921.38
  6. Step 6: Final answer
    x = 7,514.64

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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.