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Finding the Fourth Proportional to 9,566.86, 13,205.28 and 8,823.28

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Solution

The fourth proportional to 9,566.86, 13,205.28 and 8,823.28 is: 12,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.86 : 13,205.28 = 8,823.28 : x
  2. Step 2: Convert to fraction form
    9,566.86/13,205.28 = 8,823.28/x
  3. Step 3: Cross multiply
    9,566.86x = 13,205.28 × 8,823.28
  4. Step 4: Simplify right side
    9,566.86x = 116,513,882.92
  5. Step 5: Solve for x
    x = 116,513,882.92/9,566.86
  6. Step 6: Final answer
    x = 12,178.91

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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.