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Finding the Fourth Proportional to 9,025.65, 13,540.77 and 3,477.50

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Solution

The fourth proportional to 9,025.65, 13,540.77 and 3,477.50 is: 5,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.65 : 13,540.77 = 3,477.50 : x
  2. Step 2: Convert to fraction form
    9,025.65/13,540.77 = 3,477.50/x
  3. Step 3: Cross multiply
    9,025.65x = 13,540.77 × 3,477.50
  4. Step 4: Simplify right side
    9,025.65x = 47,087,959.97
  5. Step 5: Solve for x
    x = 47,087,959.97/9,025.65
  6. Step 6: Final answer
    x = 5,217.13

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Why These Related Problems?

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