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Finding the Fourth Proportional to 9,971.95, 13,766.88 and 7,843.27

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Solution

The fourth proportional to 9,971.95, 13,766.88 and 7,843.27 is: 10,828.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.95 : 13,766.88 = 7,843.27 : x
  2. Step 2: Convert to fraction form
    9,971.95/13,766.88 = 7,843.27/x
  3. Step 3: Cross multiply
    9,971.95x = 13,766.88 × 7,843.27
  4. Step 4: Simplify right side
    9,971.95x = 107,977,356.90
  5. Step 5: Solve for x
    x = 107,977,356.90/9,971.95
  6. Step 6: Final answer
    x = 10,828.11

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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.