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Finding the Fourth Proportional to 6,498.42, 9,744.39 and 2,987.34

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Solution

The fourth proportional to 6,498.42, 9,744.39 and 2,987.34 is: 4,479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.42 : 9,744.39 = 2,987.34 : x
  2. Step 2: Convert to fraction form
    6,498.42/9,744.39 = 2,987.34/x
  3. Step 3: Cross multiply
    6,498.42x = 9,744.39 × 2,987.34
  4. Step 4: Simplify right side
    6,498.42x = 29,109,806.02
  5. Step 5: Solve for x
    x = 29,109,806.02/6,498.42
  6. Step 6: Final answer
    x = 4,479.52

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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.