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Finding the Fourth Proportional to 6,115.54, 9,172.14 and 1,732.84

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Solution

The fourth proportional to 6,115.54, 9,172.14 and 1,732.84 is: 2,598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.54 : 9,172.14 = 1,732.84 : x
  2. Step 2: Convert to fraction form
    6,115.54/9,172.14 = 1,732.84/x
  3. Step 3: Cross multiply
    6,115.54x = 9,172.14 × 1,732.84
  4. Step 4: Simplify right side
    6,115.54x = 15,893,851.08
  5. Step 5: Solve for x
    x = 15,893,851.08/6,115.54
  6. Step 6: Final answer
    x = 2,598.93

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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.