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Finding the Fourth Proportional to 9,889.44, 13,647.12 and 5,697.60

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Solution

The fourth proportional to 9,889.44, 13,647.12 and 5,697.60 is: 7,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.44 : 13,647.12 = 5,697.60 : x
  2. Step 2: Convert to fraction form
    9,889.44/13,647.12 = 5,697.60/x
  3. Step 3: Cross multiply
    9,889.44x = 13,647.12 × 5,697.60
  4. Step 4: Simplify right side
    9,889.44x = 77,755,830.91
  5. Step 5: Solve for x
    x = 77,755,830.91/9,889.44
  6. Step 6: Final answer
    x = 7,862.51

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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.