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Finding the Fourth Proportional to 9,107.92, 12,574.74 and 7,433.33

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Solution

The fourth proportional to 9,107.92, 12,574.74 and 7,433.33 is: 10,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.92 : 12,574.74 = 7,433.33 : x
  2. Step 2: Convert to fraction form
    9,107.92/12,574.74 = 7,433.33/x
  3. Step 3: Cross multiply
    9,107.92x = 12,574.74 × 7,433.33
  4. Step 4: Simplify right side
    9,107.92x = 93,472,204.24
  5. Step 5: Solve for x
    x = 93,472,204.24/9,107.92
  6. Step 6: Final answer
    x = 10,262.74

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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.