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Finding the Fourth Proportional to 9,112.54, 12,582.22 and 8,967.28

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Solution

The fourth proportional to 9,112.54, 12,582.22 and 8,967.28 is: 12,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.54 : 12,582.22 = 8,967.28 : x
  2. Step 2: Convert to fraction form
    9,112.54/12,582.22 = 8,967.28/x
  3. Step 3: Cross multiply
    9,112.54x = 12,582.22 × 8,967.28
  4. Step 4: Simplify right side
    9,112.54x = 112,828,289.76
  5. Step 5: Solve for x
    x = 112,828,289.76/9,112.54
  6. Step 6: Final answer
    x = 12,381.65

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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.