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Finding the Fourth Proportional to 9,569.39, 13,205.78 and 5,320.33

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Solution

The fourth proportional to 9,569.39, 13,205.78 and 5,320.33 is: 7,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.39 : 13,205.78 = 5,320.33 : x
  2. Step 2: Convert to fraction form
    9,569.39/13,205.78 = 5,320.33/x
  3. Step 3: Cross multiply
    9,569.39x = 13,205.78 × 5,320.33
  4. Step 4: Simplify right side
    9,569.39x = 70,259,172.05
  5. Step 5: Solve for x
    x = 70,259,172.05/9,569.39
  6. Step 6: Final answer
    x = 7,342.07

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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.