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Finding the Fourth Proportional to 8,509.29, 12,766.23 and 2,962.95

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Solution

The fourth proportional to 8,509.29, 12,766.23 and 2,962.95 is: 4,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.29 : 12,766.23 = 2,962.95 : x
  2. Step 2: Convert to fraction form
    8,509.29/12,766.23 = 2,962.95/x
  3. Step 3: Cross multiply
    8,509.29x = 12,766.23 × 2,962.95
  4. Step 4: Simplify right side
    8,509.29x = 37,825,701.18
  5. Step 5: Solve for x
    x = 37,825,701.18/8,509.29
  6. Step 6: Final answer
    x = 4,445.22

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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.