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Finding the Fourth Proportional to 9,264.12, 13,886.22 and 4,001.61

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Solution

The fourth proportional to 9,264.12, 13,886.22 and 4,001.61 is: 5,998.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.12 : 13,886.22 = 4,001.61 : x
  2. Step 2: Convert to fraction form
    9,264.12/13,886.22 = 4,001.61/x
  3. Step 3: Cross multiply
    9,264.12x = 13,886.22 × 4,001.61
  4. Step 4: Simplify right side
    9,264.12x = 55,567,236.81
  5. Step 5: Solve for x
    x = 55,567,236.81/9,264.12
  6. Step 6: Final answer
    x = 5,998.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.