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Finding the Fourth Proportional to 9,107.68, 12,572.12 and 7,118.88

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Solution

The fourth proportional to 9,107.68, 12,572.12 and 7,118.88 is: 9,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.68 : 12,572.12 = 7,118.88 : x
  2. Step 2: Convert to fraction form
    9,107.68/12,572.12 = 7,118.88/x
  3. Step 3: Cross multiply
    9,107.68x = 12,572.12 × 7,118.88
  4. Step 4: Simplify right side
    9,107.68x = 89,499,413.63
  5. Step 5: Solve for x
    x = 89,499,413.63/9,107.68
  6. Step 6: Final answer
    x = 9,826.81

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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.