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Finding the Fourth Proportional to 9,782.96, 13,490.53 and 8,371.31

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Solution

The fourth proportional to 9,782.96, 13,490.53 and 8,371.31 is: 11,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.96 : 13,490.53 = 8,371.31 : x
  2. Step 2: Convert to fraction form
    9,782.96/13,490.53 = 8,371.31/x
  3. Step 3: Cross multiply
    9,782.96x = 13,490.53 × 8,371.31
  4. Step 4: Simplify right side
    9,782.96x = 112,933,421.49
  5. Step 5: Solve for x
    x = 112,933,421.49/9,782.96
  6. Step 6: Final answer
    x = 11,543.90

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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.