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Finding the Fourth Proportional to 9,811.80, 13,543.86 and 6,040.02

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Solution

The fourth proportional to 9,811.80, 13,543.86 and 6,040.02 is: 8,337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.80 : 13,543.86 = 6,040.02 : x
  2. Step 2: Convert to fraction form
    9,811.80/13,543.86 = 6,040.02/x
  3. Step 3: Cross multiply
    9,811.80x = 13,543.86 × 6,040.02
  4. Step 4: Simplify right side
    9,811.80x = 81,805,185.28
  5. Step 5: Solve for x
    x = 81,805,185.28/9,811.80
  6. Step 6: Final answer
    x = 8,337.43

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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.