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Finding the Fourth Proportional to 9,419.88, 14,119.96 and 3,177.74

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Solution

The fourth proportional to 9,419.88, 14,119.96 and 3,177.74 is: 4,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.88 : 14,119.96 = 3,177.74 : x
  2. Step 2: Convert to fraction form
    9,419.88/14,119.96 = 3,177.74/x
  3. Step 3: Cross multiply
    9,419.88x = 14,119.96 × 3,177.74
  4. Step 4: Simplify right side
    9,419.88x = 44,869,561.69
  5. Step 5: Solve for x
    x = 44,869,561.69/9,419.88
  6. Step 6: Final answer
    x = 4,763.28

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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.