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Finding the Fourth Proportional to 9,029.30, 13,540.83 and 4,585.25

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Solution

The fourth proportional to 9,029.30, 13,540.83 and 4,585.25 is: 6,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.30 : 13,540.83 = 4,585.25 : x
  2. Step 2: Convert to fraction form
    9,029.30/13,540.83 = 4,585.25/x
  3. Step 3: Cross multiply
    9,029.30x = 13,540.83 × 4,585.25
  4. Step 4: Simplify right side
    9,029.30x = 62,088,023.05
  5. Step 5: Solve for x
    x = 62,088,023.05/9,029.30
  6. Step 6: Final answer
    x = 6,876.29

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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.