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Finding the Fourth Proportional to 9,149.49, 13,711.14 and 4,980.42

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Solution

The fourth proportional to 9,149.49, 13,711.14 and 4,980.42 is: 7,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.49 : 13,711.14 = 4,980.42 : x
  2. Step 2: Convert to fraction form
    9,149.49/13,711.14 = 4,980.42/x
  3. Step 3: Cross multiply
    9,149.49x = 13,711.14 × 4,980.42
  4. Step 4: Simplify right side
    9,149.49x = 68,287,235.88
  5. Step 5: Solve for x
    x = 68,287,235.88/9,149.49
  6. Step 6: Final answer
    x = 7,463.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.