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Finding the Fourth Proportional to 9,701.16, 13,388.04 and 5,722.44

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Solution

The fourth proportional to 9,701.16, 13,388.04 and 5,722.44 is: 7,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.16 : 13,388.04 = 5,722.44 : x
  2. Step 2: Convert to fraction form
    9,701.16/13,388.04 = 5,722.44/x
  3. Step 3: Cross multiply
    9,701.16x = 13,388.04 × 5,722.44
  4. Step 4: Simplify right side
    9,701.16x = 76,612,255.62
  5. Step 5: Solve for x
    x = 76,612,255.62/9,701.16
  6. Step 6: Final answer
    x = 7,897.23

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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.