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Finding the Fourth Proportional to 9,294.36, 12,826.20 and 5,102.64

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Solution

The fourth proportional to 9,294.36, 12,826.20 and 5,102.64 is: 7,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.36 : 12,826.20 = 5,102.64 : x
  2. Step 2: Convert to fraction form
    9,294.36/12,826.20 = 5,102.64/x
  3. Step 3: Cross multiply
    9,294.36x = 12,826.20 × 5,102.64
  4. Step 4: Simplify right side
    9,294.36x = 65,447,481.17
  5. Step 5: Solve for x
    x = 65,447,481.17/9,294.36
  6. Step 6: Final answer
    x = 7,041.63

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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.