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Finding the Fourth Proportional to 9,921.84, 13,691.34 and 5,445.48

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Solution

The fourth proportional to 9,921.84, 13,691.34 and 5,445.48 is: 7,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.84 : 13,691.34 = 5,445.48 : x
  2. Step 2: Convert to fraction form
    9,921.84/13,691.34 = 5,445.48/x
  3. Step 3: Cross multiply
    9,921.84x = 13,691.34 × 5,445.48
  4. Step 4: Simplify right side
    9,921.84x = 74,555,918.14
  5. Step 5: Solve for x
    x = 74,555,918.14/9,921.84
  6. Step 6: Final answer
    x = 7,514.32

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