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Finding the Fourth Proportional to 9,862.23, 13,609.85 and 5,883.51

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Solution

The fourth proportional to 9,862.23, 13,609.85 and 5,883.51 is: 8,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.23 : 13,609.85 = 5,883.51 : x
  2. Step 2: Convert to fraction form
    9,862.23/13,609.85 = 5,883.51/x
  3. Step 3: Cross multiply
    9,862.23x = 13,609.85 × 5,883.51
  4. Step 4: Simplify right side
    9,862.23x = 80,073,659.16
  5. Step 5: Solve for x
    x = 80,073,659.16/9,862.23
  6. Step 6: Final answer
    x = 8,119.22

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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.