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Finding the Fourth Proportional to 6,498.72, 9,744.48 and 3,034.08

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Solution

The fourth proportional to 6,498.72, 9,744.48 and 3,034.08 is: 4,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.72 : 9,744.48 = 3,034.08 : x
  2. Step 2: Convert to fraction form
    6,498.72/9,744.48 = 3,034.08/x
  3. Step 3: Cross multiply
    6,498.72x = 9,744.48 × 3,034.08
  4. Step 4: Simplify right side
    6,498.72x = 29,565,531.88
  5. Step 5: Solve for x
    x = 29,565,531.88/6,498.72
  6. Step 6: Final answer
    x = 4,549.44

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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.