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Finding the Fourth Proportional to 9,863.14, 13,610.58 and 5,386

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Solution

The fourth proportional to 9,863.14, 13,610.58 and 5,386 is: 7,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.14 : 13,610.58 = 5,386 : x
  2. Step 2: Convert to fraction form
    9,863.14/13,610.58 = 5,386/x
  3. Step 3: Cross multiply
    9,863.14x = 13,610.58 × 5,386
  4. Step 4: Simplify right side
    9,863.14x = 73,306,583.88
  5. Step 5: Solve for x
    x = 73,306,583.88/9,863.14
  6. Step 6: Final answer
    x = 7,432.38

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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.