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Finding the Fourth Proportional to 9,569.92, 13,205.85 and 5,320.65

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Solution

The fourth proportional to 9,569.92, 13,205.85 and 5,320.65 is: 7,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.92 : 13,205.85 = 5,320.65 : x
  2. Step 2: Convert to fraction form
    9,569.92/13,205.85 = 5,320.65/x
  3. Step 3: Cross multiply
    9,569.92x = 13,205.85 × 5,320.65
  4. Step 4: Simplify right side
    9,569.92x = 70,263,705.80
  5. Step 5: Solve for x
    x = 70,263,705.80/9,569.92
  6. Step 6: Final answer
    x = 7,342.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.