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Finding the Fourth Proportional to 9,097.92, 12,553.25 and 5,320.35

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Solution

The fourth proportional to 9,097.92, 12,553.25 and 5,320.35 is: 7,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.92 : 12,553.25 = 5,320.35 : x
  2. Step 2: Convert to fraction form
    9,097.92/12,553.25 = 5,320.35/x
  3. Step 3: Cross multiply
    9,097.92x = 12,553.25 × 5,320.35
  4. Step 4: Simplify right side
    9,097.92x = 66,787,657.04
  5. Step 5: Solve for x
    x = 66,787,657.04/9,097.92
  6. Step 6: Final answer
    x = 7,340.98

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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.