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Finding the Fourth Proportional to 9,862.57, 13,610.38 and 6,325.80

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Solution

The fourth proportional to 9,862.57, 13,610.38 and 6,325.80 is: 8,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.57 : 13,610.38 = 6,325.80 : x
  2. Step 2: Convert to fraction form
    9,862.57/13,610.38 = 6,325.80/x
  3. Step 3: Cross multiply
    9,862.57x = 13,610.38 × 6,325.80
  4. Step 4: Simplify right side
    9,862.57x = 86,096,541.80
  5. Step 5: Solve for x
    x = 86,096,541.80/9,862.57
  6. Step 6: Final answer
    x = 8,729.63

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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.