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Finding the Fourth Proportional to 9,612.14, 13,264.36 and 5,363.38

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Solution

The fourth proportional to 9,612.14, 13,264.36 and 5,363.38 is: 7,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.14 : 13,264.36 = 5,363.38 : x
  2. Step 2: Convert to fraction form
    9,612.14/13,264.36 = 5,363.38/x
  3. Step 3: Cross multiply
    9,612.14x = 13,264.36 × 5,363.38
  4. Step 4: Simplify right side
    9,612.14x = 71,141,806.31
  5. Step 5: Solve for x
    x = 71,141,806.31/9,612.14
  6. Step 6: Final answer
    x = 7,401.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.