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Finding the Fourth Proportional to 9,850.78, 13,593.98 and 5,659.06

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Solution

The fourth proportional to 9,850.78, 13,593.98 and 5,659.06 is: 7,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.78 : 13,593.98 = 5,659.06 : x
  2. Step 2: Convert to fraction form
    9,850.78/13,593.98 = 5,659.06/x
  3. Step 3: Cross multiply
    9,850.78x = 13,593.98 × 5,659.06
  4. Step 4: Simplify right side
    9,850.78x = 76,929,148.46
  5. Step 5: Solve for x
    x = 76,929,148.46/9,850.78
  6. Step 6: Final answer
    x = 7,809.45

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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.