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Finding the Fourth Proportional to 9,759.78, 13,468.38 and 5,283.43

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Solution

The fourth proportional to 9,759.78, 13,468.38 and 5,283.43 is: 7,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.78 : 13,468.38 = 5,283.43 : x
  2. Step 2: Convert to fraction form
    9,759.78/13,468.38 = 5,283.43/x
  3. Step 3: Cross multiply
    9,759.78x = 13,468.38 × 5,283.43
  4. Step 4: Simplify right side
    9,759.78x = 71,159,304.84
  5. Step 5: Solve for x
    x = 71,159,304.84/9,759.78
  6. Step 6: Final answer
    x = 7,291.08

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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.