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Finding the Fourth Proportional to 6,014.80, 9,017.40 and 2,549.20

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Solution

The fourth proportional to 6,014.80, 9,017.40 and 2,549.20 is: 3,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.80 : 9,017.40 = 2,549.20 : x
  2. Step 2: Convert to fraction form
    6,014.80/9,017.40 = 2,549.20/x
  3. Step 3: Cross multiply
    6,014.80x = 9,017.40 × 2,549.20
  4. Step 4: Simplify right side
    6,014.80x = 22,987,156.08
  5. Step 5: Solve for x
    x = 22,987,156.08/6,014.80
  6. Step 6: Final answer
    x = 3,821.77

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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.