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Finding the Fourth Proportional to 9,310.34, 12,849.05 and 5,119.38

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Solution

The fourth proportional to 9,310.34, 12,849.05 and 5,119.38 is: 7,065.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.34 : 12,849.05 = 5,119.38 : x
  2. Step 2: Convert to fraction form
    9,310.34/12,849.05 = 5,119.38/x
  3. Step 3: Cross multiply
    9,310.34x = 12,849.05 × 5,119.38
  4. Step 4: Simplify right side
    9,310.34x = 65,779,169.59
  5. Step 5: Solve for x
    x = 65,779,169.59/9,310.34
  6. Step 6: Final answer
    x = 7,065.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.