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Finding the Fourth Proportional to 7,146.33, 9,863.33 and 4,314.17

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Solution

The fourth proportional to 7,146.33, 9,863.33 and 4,314.17 is: 5,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.33 : 9,863.33 = 4,314.17 : x
  2. Step 2: Convert to fraction form
    7,146.33/9,863.33 = 4,314.17/x
  3. Step 3: Cross multiply
    7,146.33x = 9,863.33 × 4,314.17
  4. Step 4: Simplify right side
    7,146.33x = 42,552,011.50
  5. Step 5: Solve for x
    x = 42,552,011.50/7,146.33
  6. Step 6: Final answer
    x = 5,954.39

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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.