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Finding the Fourth Proportional to 9,805.74, 13,531.95 and 5,827.02

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Solution

The fourth proportional to 9,805.74, 13,531.95 and 5,827.02 is: 8,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.74 : 13,531.95 = 5,827.02 : x
  2. Step 2: Convert to fraction form
    9,805.74/13,531.95 = 5,827.02/x
  3. Step 3: Cross multiply
    9,805.74x = 13,531.95 × 5,827.02
  4. Step 4: Simplify right side
    9,805.74x = 78,850,943.29
  5. Step 5: Solve for x
    x = 78,850,943.29/9,805.74
  6. Step 6: Final answer
    x = 8,041.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.