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Finding the Fourth Proportional to 9,686.37, 13,280.13 and 9,511.41

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Solution

The fourth proportional to 9,686.37, 13,280.13 and 9,511.41 is: 13,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.37 : 13,280.13 = 9,511.41 : x
  2. Step 2: Convert to fraction form
    9,686.37/13,280.13 = 9,511.41/x
  3. Step 3: Cross multiply
    9,686.37x = 13,280.13 × 9,511.41
  4. Step 4: Simplify right side
    9,686.37x = 126,312,761.28
  5. Step 5: Solve for x
    x = 126,312,761.28/9,686.37
  6. Step 6: Final answer
    x = 13,040.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.