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Finding the Fourth Proportional to 9,299.30, 12,833.44 and 5,320.40

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Solution

The fourth proportional to 9,299.30, 12,833.44 and 5,320.40 is: 7,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.30 : 12,833.44 = 5,320.40 : x
  2. Step 2: Convert to fraction form
    9,299.30/12,833.44 = 5,320.40/x
  3. Step 3: Cross multiply
    9,299.30x = 12,833.44 × 5,320.40
  4. Step 4: Simplify right side
    9,299.30x = 68,279,034.18
  5. Step 5: Solve for x
    x = 68,279,034.18/9,299.30
  6. Step 6: Final answer
    x = 7,342.38

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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.