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Finding the Fourth Proportional to 6,714.39, 9,264.36 and 4,061.74

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Solution

The fourth proportional to 6,714.39, 9,264.36 and 4,061.74 is: 5,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.39 : 9,264.36 = 4,061.74 : x
  2. Step 2: Convert to fraction form
    6,714.39/9,264.36 = 4,061.74/x
  3. Step 3: Cross multiply
    6,714.39x = 9,264.36 × 4,061.74
  4. Step 4: Simplify right side
    6,714.39x = 37,629,421.59
  5. Step 5: Solve for x
    x = 37,629,421.59/6,714.39
  6. Step 6: Final answer
    x = 5,604.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.