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Finding the Fourth Proportional to 12,963.18, 19,432.88 and 6,295.80

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Solution

The fourth proportional to 12,963.18, 19,432.88 and 6,295.80 is: 9,437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.18 : 19,432.88 = 6,295.80 : x
  2. Step 2: Convert to fraction form
    12,963.18/19,432.88 = 6,295.80/x
  3. Step 3: Cross multiply
    12,963.18x = 19,432.88 × 6,295.80
  4. Step 4: Simplify right side
    12,963.18x = 122,345,525.90
  5. Step 5: Solve for x
    x = 122,345,525.90/12,963.18
  6. Step 6: Final answer
    x = 9,437.93

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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.