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Finding the Fourth Proportional to 9,881.28, 13,637.48 and 6,354.74

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Solution

The fourth proportional to 9,881.28, 13,637.48 and 6,354.74 is: 8,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.28 : 13,637.48 = 6,354.74 : x
  2. Step 2: Convert to fraction form
    9,881.28/13,637.48 = 6,354.74/x
  3. Step 3: Cross multiply
    9,881.28x = 13,637.48 × 6,354.74
  4. Step 4: Simplify right side
    9,881.28x = 86,662,639.66
  5. Step 5: Solve for x
    x = 86,662,639.66/9,881.28
  6. Step 6: Final answer
    x = 8,770.39

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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.