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Finding the Fourth Proportional to 9,092.88, 13,641.12 and 4,162.68

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Solution

The fourth proportional to 9,092.88, 13,641.12 and 4,162.68 is: 6,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.88 : 13,641.12 = 4,162.68 : x
  2. Step 2: Convert to fraction form
    9,092.88/13,641.12 = 4,162.68/x
  3. Step 3: Cross multiply
    9,092.88x = 13,641.12 × 4,162.68
  4. Step 4: Simplify right side
    9,092.88x = 56,783,617.40
  5. Step 5: Solve for x
    x = 56,783,617.40/9,092.88
  6. Step 6: Final answer
    x = 6,244.84

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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.