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Finding the Fourth Proportional to 9,800.16, 13,494.72 and 8,862.38

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Solution

The fourth proportional to 9,800.16, 13,494.72 and 8,862.38 is: 12,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.16 : 13,494.72 = 8,862.38 : x
  2. Step 2: Convert to fraction form
    9,800.16/13,494.72 = 8,862.38/x
  3. Step 3: Cross multiply
    9,800.16x = 13,494.72 × 8,862.38
  4. Step 4: Simplify right side
    9,800.16x = 119,595,336.63
  5. Step 5: Solve for x
    x = 119,595,336.63/9,800.16
  6. Step 6: Final answer
    x = 12,203.41

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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.