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Finding the Fourth Proportional to 9,769.84, 13,482.38 and 5,293.72

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Solution

The fourth proportional to 9,769.84, 13,482.38 and 5,293.72 is: 7,305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.84 : 13,482.38 = 5,293.72 : x
  2. Step 2: Convert to fraction form
    9,769.84/13,482.38 = 5,293.72/x
  3. Step 3: Cross multiply
    9,769.84x = 13,482.38 × 5,293.72
  4. Step 4: Simplify right side
    9,769.84x = 71,371,944.65
  5. Step 5: Solve for x
    x = 71,371,944.65/9,769.84
  6. Step 6: Final answer
    x = 7,305.33

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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.