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Finding the Fourth Proportional to 6,115, 9,172.44 and 1,731.88

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Solution

The fourth proportional to 6,115, 9,172.44 and 1,731.88 is: 2,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115 : 9,172.44 = 1,731.88 : x
  2. Step 2: Convert to fraction form
    6,115/9,172.44 = 1,731.88/x
  3. Step 3: Cross multiply
    6,115x = 9,172.44 × 1,731.88
  4. Step 4: Simplify right side
    6,115x = 15,885,565.39
  5. Step 5: Solve for x
    x = 15,885,565.39/6,115
  6. Step 6: Final answer
    x = 2,597.80

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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.