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Finding the Fourth Proportional to 7,154.20, 9,889.32 and 5,968.36

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Solution

The fourth proportional to 7,154.20, 9,889.32 and 5,968.36 is: 8,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.20 : 9,889.32 = 5,968.36 : x
  2. Step 2: Convert to fraction form
    7,154.20/9,889.32 = 5,968.36/x
  3. Step 3: Cross multiply
    7,154.20x = 9,889.32 × 5,968.36
  4. Step 4: Simplify right side
    7,154.20x = 59,023,021.92
  5. Step 5: Solve for x
    x = 59,023,021.92/7,154.20
  6. Step 6: Final answer
    x = 8,250.12

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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.