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Finding the Fourth Proportional to 9,225.76, 13,826.76 and 3,375.40

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Solution

The fourth proportional to 9,225.76, 13,826.76 and 3,375.40 is: 5,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.76 : 13,826.76 = 3,375.40 : x
  2. Step 2: Convert to fraction form
    9,225.76/13,826.76 = 3,375.40/x
  3. Step 3: Cross multiply
    9,225.76x = 13,826.76 × 3,375.40
  4. Step 4: Simplify right side
    9,225.76x = 46,670,845.70
  5. Step 5: Solve for x
    x = 46,670,845.70/9,225.76
  6. Step 6: Final answer
    x = 5,058.75

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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.