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Finding the Fourth Proportional to 8,954.60, 13,438.68 and 6,454.58

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Solution

The fourth proportional to 8,954.60, 13,438.68 and 6,454.58 is: 9,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.60 : 13,438.68 = 6,454.58 : x
  2. Step 2: Convert to fraction form
    8,954.60/13,438.68 = 6,454.58/x
  3. Step 3: Cross multiply
    8,954.60x = 13,438.68 × 6,454.58
  4. Step 4: Simplify right side
    8,954.60x = 86,741,035.15
  5. Step 5: Solve for x
    x = 86,741,035.15/8,954.60
  6. Step 6: Final answer
    x = 9,686.76

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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.