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Finding the Fourth Proportional to 9,324.34, 12,869.35 and 5,348.05

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Solution

The fourth proportional to 9,324.34, 12,869.35 and 5,348.05 is: 7,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.34 : 12,869.35 = 5,348.05 : x
  2. Step 2: Convert to fraction form
    9,324.34/12,869.35 = 5,348.05/x
  3. Step 3: Cross multiply
    9,324.34x = 12,869.35 × 5,348.05
  4. Step 4: Simplify right side
    9,324.34x = 68,825,881.72
  5. Step 5: Solve for x
    x = 68,825,881.72/9,324.34
  6. Step 6: Final answer
    x = 7,381.32

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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.