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Finding the Fourth Proportional to 9,909.64, 14,860.14 and 2,982.52

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Solution

The fourth proportional to 9,909.64, 14,860.14 and 2,982.52 is: 4,472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.64 : 14,860.14 = 2,982.52 : x
  2. Step 2: Convert to fraction form
    9,909.64/14,860.14 = 2,982.52/x
  3. Step 3: Cross multiply
    9,909.64x = 14,860.14 × 2,982.52
  4. Step 4: Simplify right side
    9,909.64x = 44,320,664.75
  5. Step 5: Solve for x
    x = 44,320,664.75/9,909.64
  6. Step 6: Final answer
    x = 4,472.48

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