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Finding the Fourth Proportional to 9,802.28, 13,514.82 and 8,187.86

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Solution

The fourth proportional to 9,802.28, 13,514.82 and 8,187.86 is: 11,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.28 : 13,514.82 = 8,187.86 : x
  2. Step 2: Convert to fraction form
    9,802.28/13,514.82 = 8,187.86/x
  3. Step 3: Cross multiply
    9,802.28x = 13,514.82 × 8,187.86
  4. Step 4: Simplify right side
    9,802.28x = 110,657,454.09
  5. Step 5: Solve for x
    x = 110,657,454.09/9,802.28
  6. Step 6: Final answer
    x = 11,288.95

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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.