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Finding the Fourth Proportional to 9,419.61, 14,129.55 and 4,489.77

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Solution

The fourth proportional to 9,419.61, 14,129.55 and 4,489.77 is: 6,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.61 : 14,129.55 = 4,489.77 : x
  2. Step 2: Convert to fraction form
    9,419.61/14,129.55 = 4,489.77/x
  3. Step 3: Cross multiply
    9,419.61x = 14,129.55 × 4,489.77
  4. Step 4: Simplify right side
    9,419.61x = 63,438,429.70
  5. Step 5: Solve for x
    x = 63,438,429.70/9,419.61
  6. Step 6: Final answer
    x = 6,734.72

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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.