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Finding the Fourth Proportional to 9,310.96, 12,849.18 and 5,119.24

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Solution

The fourth proportional to 9,310.96, 12,849.18 and 5,119.24 is: 7,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.96 : 12,849.18 = 5,119.24 : x
  2. Step 2: Convert to fraction form
    9,310.96/12,849.18 = 5,119.24/x
  3. Step 3: Cross multiply
    9,310.96x = 12,849.18 × 5,119.24
  4. Step 4: Simplify right side
    9,310.96x = 65,778,036.22
  5. Step 5: Solve for x
    x = 65,778,036.22/9,310.96
  6. Step 6: Final answer
    x = 7,064.58

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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.