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Finding the Fourth Proportional to 9,253.76, 13,868.72 and 3,403.44

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Solution

The fourth proportional to 9,253.76, 13,868.72 and 3,403.44 is: 5,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.76 : 13,868.72 = 3,403.44 : x
  2. Step 2: Convert to fraction form
    9,253.76/13,868.72 = 3,403.44/x
  3. Step 3: Cross multiply
    9,253.76x = 13,868.72 × 3,403.44
  4. Step 4: Simplify right side
    9,253.76x = 47,201,356.40
  5. Step 5: Solve for x
    x = 47,201,356.40/9,253.76
  6. Step 6: Final answer
    x = 5,100.78

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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.