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Finding the Fourth Proportional to 9,363.78, 14,038.20 and 5,410.53

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Solution

The fourth proportional to 9,363.78, 14,038.20 and 5,410.53 is: 8,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.78 : 14,038.20 = 5,410.53 : x
  2. Step 2: Convert to fraction form
    9,363.78/14,038.20 = 5,410.53/x
  3. Step 3: Cross multiply
    9,363.78x = 14,038.20 × 5,410.53
  4. Step 4: Simplify right side
    9,363.78x = 75,954,102.25
  5. Step 5: Solve for x
    x = 75,954,102.25/9,363.78
  6. Step 6: Final answer
    x = 8,111.48

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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.