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Finding the Fourth Proportional to 9,877.17, 13,630.19 and 5,400.81

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Solution

The fourth proportional to 9,877.17, 13,630.19 and 5,400.81 is: 7,452.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.17 : 13,630.19 = 5,400.81 : x
  2. Step 2: Convert to fraction form
    9,877.17/13,630.19 = 5,400.81/x
  3. Step 3: Cross multiply
    9,877.17x = 13,630.19 × 5,400.81
  4. Step 4: Simplify right side
    9,877.17x = 73,613,998.30
  5. Step 5: Solve for x
    x = 73,613,998.30/9,877.17
  6. Step 6: Final answer
    x = 7,452.94

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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.