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Finding the Fourth Proportional to 9,105.40, 12,568.97 and 7,116.59

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Solution

The fourth proportional to 9,105.40, 12,568.97 and 7,116.59 is: 9,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.40 : 12,568.97 = 7,116.59 : x
  2. Step 2: Convert to fraction form
    9,105.40/12,568.97 = 7,116.59/x
  3. Step 3: Cross multiply
    9,105.40x = 12,568.97 × 7,116.59
  4. Step 4: Simplify right side
    9,105.40x = 89,448,255.43
  5. Step 5: Solve for x
    x = 89,448,255.43/9,105.40
  6. Step 6: Final answer
    x = 9,823.65

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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.