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Finding the Fourth Proportional to 9,860.32, 14,781.84 and 3,708.64

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Solution

The fourth proportional to 9,860.32, 14,781.84 and 3,708.64 is: 5,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.32 : 14,781.84 = 3,708.64 : x
  2. Step 2: Convert to fraction form
    9,860.32/14,781.84 = 3,708.64/x
  3. Step 3: Cross multiply
    9,860.32x = 14,781.84 × 3,708.64
  4. Step 4: Simplify right side
    9,860.32x = 54,820,523.10
  5. Step 5: Solve for x
    x = 54,820,523.10/9,860.32
  6. Step 6: Final answer
    x = 5,559.71

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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.