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Finding the Fourth Proportional to 9,862.22, 13,608.06 and 5,613.03

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Solution

The fourth proportional to 9,862.22, 13,608.06 and 5,613.03 is: 7,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.22 : 13,608.06 = 5,613.03 : x
  2. Step 2: Convert to fraction form
    9,862.22/13,608.06 = 5,613.03/x
  3. Step 3: Cross multiply
    9,862.22x = 13,608.06 × 5,613.03
  4. Step 4: Simplify right side
    9,862.22x = 76,382,427.97
  5. Step 5: Solve for x
    x = 76,382,427.97/9,862.22
  6. Step 6: Final answer
    x = 7,744.96

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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.