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Finding the Fourth Proportional to 9,027.15, 13,545.90 and 4,867.14

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Solution

The fourth proportional to 9,027.15, 13,545.90 and 4,867.14 is: 7,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.15 : 13,545.90 = 4,867.14 : x
  2. Step 2: Convert to fraction form
    9,027.15/13,545.90 = 4,867.14/x
  3. Step 3: Cross multiply
    9,027.15x = 13,545.90 × 4,867.14
  4. Step 4: Simplify right side
    9,027.15x = 65,929,791.73
  5. Step 5: Solve for x
    x = 65,929,791.73/9,027.15
  6. Step 6: Final answer
    x = 7,303.50

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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.