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Finding the Fourth Proportional to 9,294.13, 12,826.11 and 5,102.38

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Solution

The fourth proportional to 9,294.13, 12,826.11 and 5,102.38 is: 7,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.13 : 12,826.11 = 5,102.38 : x
  2. Step 2: Convert to fraction form
    9,294.13/12,826.11 = 5,102.38/x
  3. Step 3: Cross multiply
    9,294.13x = 12,826.11 × 5,102.38
  4. Step 4: Simplify right side
    9,294.13x = 65,443,687.14
  5. Step 5: Solve for x
    x = 65,443,687.14/9,294.13
  6. Step 6: Final answer
    x = 7,041.40

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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.