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Finding the Fourth Proportional to 9,668.15, 13,348.48 and 7,426.02

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Solution

The fourth proportional to 9,668.15, 13,348.48 and 7,426.02 is: 10,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.15 : 13,348.48 = 7,426.02 : x
  2. Step 2: Convert to fraction form
    9,668.15/13,348.48 = 7,426.02/x
  3. Step 3: Cross multiply
    9,668.15x = 13,348.48 × 7,426.02
  4. Step 4: Simplify right side
    9,668.15x = 99,126,079.45
  5. Step 5: Solve for x
    x = 99,126,079.45/9,668.15
  6. Step 6: Final answer
    x = 10,252.85

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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.