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Finding the Fourth Proportional to 8,919.78, 13,378.32 and 5,622.90

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Solution

The fourth proportional to 8,919.78, 13,378.32 and 5,622.90 is: 8,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,919.78 : 13,378.32 = 5,622.90 : x
  2. Step 2: Convert to fraction form
    8,919.78/13,378.32 = 5,622.90/x
  3. Step 3: Cross multiply
    8,919.78x = 13,378.32 × 5,622.90
  4. Step 4: Simplify right side
    8,919.78x = 75,224,955.53
  5. Step 5: Solve for x
    x = 75,224,955.53/8,919.78
  6. Step 6: Final answer
    x = 8,433.50

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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.