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Finding the Fourth Proportional to 9,552.78, 13,196.13 and 9,085.69

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Solution

The fourth proportional to 9,552.78, 13,196.13 and 9,085.69 is: 12,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.78 : 13,196.13 = 9,085.69 : x
  2. Step 2: Convert to fraction form
    9,552.78/13,196.13 = 9,085.69/x
  3. Step 3: Cross multiply
    9,552.78x = 13,196.13 × 9,085.69
  4. Step 4: Simplify right side
    9,552.78x = 119,895,928.80
  5. Step 5: Solve for x
    x = 119,895,928.80/9,552.78
  6. Step 6: Final answer
    x = 12,550.89

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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.