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Finding the Fourth Proportional to 9,742, 13,446.12 and 6,018.16

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Solution

The fourth proportional to 9,742, 13,446.12 and 6,018.16 is: 8,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742 : 13,446.12 = 6,018.16 : x
  2. Step 2: Convert to fraction form
    9,742/13,446.12 = 6,018.16/x
  3. Step 3: Cross multiply
    9,742x = 13,446.12 × 6,018.16
  4. Step 4: Simplify right side
    9,742x = 80,920,901.54
  5. Step 5: Solve for x
    x = 80,920,901.54/9,742
  6. Step 6: Final answer
    x = 8,306.40

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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.