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Finding the Fourth Proportional to 7,165.92, 9,889.68 and 4,812.96

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Solution

The fourth proportional to 7,165.92, 9,889.68 and 4,812.96 is: 6,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.92 : 9,889.68 = 4,812.96 : x
  2. Step 2: Convert to fraction form
    7,165.92/9,889.68 = 4,812.96/x
  3. Step 3: Cross multiply
    7,165.92x = 9,889.68 × 4,812.96
  4. Step 4: Simplify right side
    7,165.92x = 47,598,634.25
  5. Step 5: Solve for x
    x = 47,598,634.25/7,165.92
  6. Step 6: Final answer
    x = 6,642.36

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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.