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Finding the Fourth Proportional to 8,156.46, 12,216.60 and 6,294

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Solution

The fourth proportional to 8,156.46, 12,216.60 and 6,294 is: 9,427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.46 : 12,216.60 = 6,294 : x
  2. Step 2: Convert to fraction form
    8,156.46/12,216.60 = 6,294/x
  3. Step 3: Cross multiply
    8,156.46x = 12,216.60 × 6,294
  4. Step 4: Simplify right side
    8,156.46x = 76,891,280.40
  5. Step 5: Solve for x
    x = 76,891,280.40/8,156.46
  6. Step 6: Final answer
    x = 9,427.04

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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.