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Finding the Fourth Proportional to 8,435.15, 12,642.87 and 6,348.47

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Solution

The fourth proportional to 8,435.15, 12,642.87 and 6,348.47 is: 9,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.15 : 12,642.87 = 6,348.47 : x
  2. Step 2: Convert to fraction form
    8,435.15/12,642.87 = 6,348.47/x
  3. Step 3: Cross multiply
    8,435.15x = 12,642.87 × 6,348.47
  4. Step 4: Simplify right side
    8,435.15x = 80,262,880.91
  5. Step 5: Solve for x
    x = 80,262,880.91/8,435.15
  6. Step 6: Final answer
    x = 9,515.29

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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.