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Finding the Fourth Proportional to 9,937.92, 14,909.28 and 3,698.40

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Solution

The fourth proportional to 9,937.92, 14,909.28 and 3,698.40 is: 5,548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.92 : 14,909.28 = 3,698.40 : x
  2. Step 2: Convert to fraction form
    9,937.92/14,909.28 = 3,698.40/x
  3. Step 3: Cross multiply
    9,937.92x = 14,909.28 × 3,698.40
  4. Step 4: Simplify right side
    9,937.92x = 55,140,481.15
  5. Step 5: Solve for x
    x = 55,140,481.15/9,937.92
  6. Step 6: Final answer
    x = 5,548.49

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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.