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Finding the Fourth Proportional to 6,115.68, 9,176.40 and 6,017.40

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Solution

The fourth proportional to 6,115.68, 9,176.40 and 6,017.40 is: 9,028.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.68 : 9,176.40 = 6,017.40 : x
  2. Step 2: Convert to fraction form
    6,115.68/9,176.40 = 6,017.40/x
  3. Step 3: Cross multiply
    6,115.68x = 9,176.40 × 6,017.40
  4. Step 4: Simplify right side
    6,115.68x = 55,218,069.36
  5. Step 5: Solve for x
    x = 55,218,069.36/6,115.68
  6. Step 6: Final answer
    x = 9,028.93

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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.