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Finding the Fourth Proportional to 9,301.32, 12,838.04 and 5,324.73

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Solution

The fourth proportional to 9,301.32, 12,838.04 and 5,324.73 is: 7,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.32 : 12,838.04 = 5,324.73 : x
  2. Step 2: Convert to fraction form
    9,301.32/12,838.04 = 5,324.73/x
  3. Step 3: Cross multiply
    9,301.32x = 12,838.04 × 5,324.73
  4. Step 4: Simplify right side
    9,301.32x = 68,359,090.07
  5. Step 5: Solve for x
    x = 68,359,090.07/9,301.32
  6. Step 6: Final answer
    x = 7,349.39

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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.