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Finding the Fourth Proportional to 9,305.46, 12,842.11 and 5,326.49

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Solution

The fourth proportional to 9,305.46, 12,842.11 and 5,326.49 is: 7,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.46 : 12,842.11 = 5,326.49 : x
  2. Step 2: Convert to fraction form
    9,305.46/12,842.11 = 5,326.49/x
  3. Step 3: Cross multiply
    9,305.46x = 12,842.11 × 5,326.49
  4. Step 4: Simplify right side
    9,305.46x = 68,403,370.49
  5. Step 5: Solve for x
    x = 68,403,370.49/9,305.46
  6. Step 6: Final answer
    x = 7,350.89

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1.5x scale

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.