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Finding the Fourth Proportional to 9,300.70, 12,837.18 and 5,324.11

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Solution

The fourth proportional to 9,300.70, 12,837.18 and 5,324.11 is: 7,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.70 : 12,837.18 = 5,324.11 : x
  2. Step 2: Convert to fraction form
    9,300.70/12,837.18 = 5,324.11/x
  3. Step 3: Cross multiply
    9,300.70x = 12,837.18 × 5,324.11
  4. Step 4: Simplify right side
    9,300.70x = 68,346,558.41
  5. Step 5: Solve for x
    x = 68,346,558.41/9,300.70
  6. Step 6: Final answer
    x = 7,348.54

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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.