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Finding the Fourth Proportional to 9,281.87, 13,918.20 and 2,955.92

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Solution

The fourth proportional to 9,281.87, 13,918.20 and 2,955.92 is: 4,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.87 : 13,918.20 = 2,955.92 : x
  2. Step 2: Convert to fraction form
    9,281.87/13,918.20 = 2,955.92/x
  3. Step 3: Cross multiply
    9,281.87x = 13,918.20 × 2,955.92
  4. Step 4: Simplify right side
    9,281.87x = 41,141,128.05
  5. Step 5: Solve for x
    x = 41,141,128.05/9,281.87
  6. Step 6: Final answer
    x = 4,432.42

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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.