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Finding the Fourth Proportional to 9,697.32, 14,544.54 and 2,677.86

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Solution

The fourth proportional to 9,697.32, 14,544.54 and 2,677.86 is: 4,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.32 : 14,544.54 = 2,677.86 : x
  2. Step 2: Convert to fraction form
    9,697.32/14,544.54 = 2,677.86/x
  3. Step 3: Cross multiply
    9,697.32x = 14,544.54 × 2,677.86
  4. Step 4: Simplify right side
    9,697.32x = 38,948,241.88
  5. Step 5: Solve for x
    x = 38,948,241.88/9,697.32
  6. Step 6: Final answer
    x = 4,016.39

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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.