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Finding the Fourth Proportional to 9,877.88, 13,631.38 and 5,401.58

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Solution

The fourth proportional to 9,877.88, 13,631.38 and 5,401.58 is: 7,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.88 : 13,631.38 = 5,401.58 : x
  2. Step 2: Convert to fraction form
    9,877.88/13,631.38 = 5,401.58/x
  3. Step 3: Cross multiply
    9,877.88x = 13,631.38 × 5,401.58
  4. Step 4: Simplify right side
    9,877.88x = 73,630,989.58
  5. Step 5: Solve for x
    x = 73,630,989.58/9,877.88
  6. Step 6: Final answer
    x = 7,454.13

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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.