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Finding the Fourth Proportional to 6,264.42, 8,650.71 and 4,689.78

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Solution

The fourth proportional to 6,264.42, 8,650.71 and 4,689.78 is: 6,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.42 : 8,650.71 = 4,689.78 : x
  2. Step 2: Convert to fraction form
    6,264.42/8,650.71 = 4,689.78/x
  3. Step 3: Cross multiply
    6,264.42x = 8,650.71 × 4,689.78
  4. Step 4: Simplify right side
    6,264.42x = 40,569,926.74
  5. Step 5: Solve for x
    x = 40,569,926.74/6,264.42
  6. Step 6: Final answer
    x = 6,476.25

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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.