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Finding the Fourth Proportional to 9,282.30, 13,929.54 and 8,667.18

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Solution

The fourth proportional to 9,282.30, 13,929.54 and 8,667.18 is: 13,006.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.30 : 13,929.54 = 8,667.18 : x
  2. Step 2: Convert to fraction form
    9,282.30/13,929.54 = 8,667.18/x
  3. Step 3: Cross multiply
    9,282.30x = 13,929.54 × 8,667.18
  4. Step 4: Simplify right side
    9,282.30x = 120,729,830.50
  5. Step 5: Solve for x
    x = 120,729,830.50/9,282.30
  6. Step 6: Final answer
    x = 13,006.46

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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.