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Finding the Fourth Proportional to 6,304.66, 9,456.35 and 2,144.57

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Solution

The fourth proportional to 6,304.66, 9,456.35 and 2,144.57 is: 3,216.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.66 : 9,456.35 = 2,144.57 : x
  2. Step 2: Convert to fraction form
    6,304.66/9,456.35 = 2,144.57/x
  3. Step 3: Cross multiply
    6,304.66x = 9,456.35 × 2,144.57
  4. Step 4: Simplify right side
    6,304.66x = 20,279,746.51
  5. Step 5: Solve for x
    x = 20,279,746.51/6,304.66
  6. Step 6: Final answer
    x = 3,216.63

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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.