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Finding the Fourth Proportional to 9,814.61, 13,543.52 and 5,836.02

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Solution

The fourth proportional to 9,814.61, 13,543.52 and 5,836.02 is: 8,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.61 : 13,543.52 = 5,836.02 : x
  2. Step 2: Convert to fraction form
    9,814.61/13,543.52 = 5,836.02/x
  3. Step 3: Cross multiply
    9,814.61x = 13,543.52 × 5,836.02
  4. Step 4: Simplify right side
    9,814.61x = 79,040,224.41
  5. Step 5: Solve for x
    x = 79,040,224.41/9,814.61
  6. Step 6: Final answer
    x = 8,053.33

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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.