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Finding the Fourth Proportional to 9,763.38, 13,478.13 and 5,570.82

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Solution

The fourth proportional to 9,763.38, 13,478.13 and 5,570.82 is: 7,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.38 : 13,478.13 = 5,570.82 : x
  2. Step 2: Convert to fraction form
    9,763.38/13,478.13 = 5,570.82/x
  3. Step 3: Cross multiply
    9,763.38x = 13,478.13 × 5,570.82
  4. Step 4: Simplify right side
    9,763.38x = 75,084,236.17
  5. Step 5: Solve for x
    x = 75,084,236.17/9,763.38
  6. Step 6: Final answer
    x = 7,690.39

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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.