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Finding the Fourth Proportional to 10,862.72, 14,982.83 and 9,969.35

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Solution

The fourth proportional to 10,862.72, 14,982.83 and 9,969.35 is: 13,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.72 : 14,982.83 = 9,969.35 : x
  2. Step 2: Convert to fraction form
    10,862.72/14,982.83 = 9,969.35/x
  3. Step 3: Cross multiply
    10,862.72x = 14,982.83 × 9,969.35
  4. Step 4: Simplify right side
    10,862.72x = 149,368,951.50
  5. Step 5: Solve for x
    x = 149,368,951.50/10,862.72
  6. Step 6: Final answer
    x = 13,750.61

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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.