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Finding the Fourth Proportional to 9,017.92, 12,446.18 and 5,661.22

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Solution

The fourth proportional to 9,017.92, 12,446.18 and 5,661.22 is: 7,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,017.92 : 12,446.18 = 5,661.22 : x
  2. Step 2: Convert to fraction form
    9,017.92/12,446.18 = 5,661.22/x
  3. Step 3: Cross multiply
    9,017.92x = 12,446.18 × 5,661.22
  4. Step 4: Simplify right side
    9,017.92x = 70,460,529.20
  5. Step 5: Solve for x
    x = 70,460,529.20/9,017.92
  6. Step 6: Final answer
    x = 7,813.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.