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Finding the Fourth Proportional to 9,025.64, 12,449.22 and 5,886.08

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Solution

The fourth proportional to 9,025.64, 12,449.22 and 5,886.08 is: 8,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.64 : 12,449.22 = 5,886.08 : x
  2. Step 2: Convert to fraction form
    9,025.64/12,449.22 = 5,886.08/x
  3. Step 3: Cross multiply
    9,025.64x = 12,449.22 × 5,886.08
  4. Step 4: Simplify right side
    9,025.64x = 73,277,104.86
  5. Step 5: Solve for x
    x = 73,277,104.86/9,025.64
  6. Step 6: Final answer
    x = 8,118.77

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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.