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Finding the Fourth Proportional to 9,301.50, 12,836.07 and 5,767.67

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Solution

The fourth proportional to 9,301.50, 12,836.07 and 5,767.67 is: 7,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.50 : 12,836.07 = 5,767.67 : x
  2. Step 2: Convert to fraction form
    9,301.50/12,836.07 = 5,767.67/x
  3. Step 3: Cross multiply
    9,301.50x = 12,836.07 × 5,767.67
  4. Step 4: Simplify right side
    9,301.50x = 74,034,247.95
  5. Step 5: Solve for x
    x = 74,034,247.95/9,301.50
  6. Step 6: Final answer
    x = 7,959.39

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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.