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Finding the Fourth Proportional to 6,419.96, 9,646.18 and 6,160.76

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Solution

The fourth proportional to 6,419.96, 9,646.18 and 6,160.76 is: 9,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.96 : 9,646.18 = 6,160.76 : x
  2. Step 2: Convert to fraction form
    6,419.96/9,646.18 = 6,160.76/x
  3. Step 3: Cross multiply
    6,419.96x = 9,646.18 × 6,160.76
  4. Step 4: Simplify right side
    6,419.96x = 59,427,799.90
  5. Step 5: Solve for x
    x = 59,427,799.90/6,419.96
  6. Step 6: Final answer
    x = 9,256.72

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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.