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Finding the Fourth Proportional to 9,107.46, 13,666.52 and 3,842.16

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Solution

The fourth proportional to 9,107.46, 13,666.52 and 3,842.16 is: 5,765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.46 : 13,666.52 = 3,842.16 : x
  2. Step 2: Convert to fraction form
    9,107.46/13,666.52 = 3,842.16/x
  3. Step 3: Cross multiply
    9,107.46x = 13,666.52 × 3,842.16
  4. Step 4: Simplify right side
    9,107.46x = 52,508,956.48
  5. Step 5: Solve for x
    x = 52,508,956.48/9,107.46
  6. Step 6: Final answer
    x = 5,765.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.