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Finding the Fourth Proportional to 9,287.10, 12,823.65 and 6,102.90

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Solution

The fourth proportional to 9,287.10, 12,823.65 and 6,102.90 is: 8,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.10 : 12,823.65 = 6,102.90 : x
  2. Step 2: Convert to fraction form
    9,287.10/12,823.65 = 6,102.90/x
  3. Step 3: Cross multiply
    9,287.10x = 12,823.65 × 6,102.90
  4. Step 4: Simplify right side
    9,287.10x = 78,261,453.59
  5. Step 5: Solve for x
    x = 78,261,453.59/9,287.10
  6. Step 6: Final answer
    x = 8,426.90

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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.