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Finding the Fourth Proportional to 9,712.89, 14,565.68 and 3,137.31

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Solution

The fourth proportional to 9,712.89, 14,565.68 and 3,137.31 is: 4,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.89 : 14,565.68 = 3,137.31 : x
  2. Step 2: Convert to fraction form
    9,712.89/14,565.68 = 3,137.31/x
  3. Step 3: Cross multiply
    9,712.89x = 14,565.68 × 3,137.31
  4. Step 4: Simplify right side
    9,712.89x = 45,697,037.83
  5. Step 5: Solve for x
    x = 45,697,037.83/9,712.89
  6. Step 6: Final answer
    x = 4,704.78

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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.