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Finding the Fourth Proportional to 9,794.10, 14,669.55 and 5,891.70

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Solution

The fourth proportional to 9,794.10, 14,669.55 and 5,891.70 is: 8,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.10 : 14,669.55 = 5,891.70 : x
  2. Step 2: Convert to fraction form
    9,794.10/14,669.55 = 5,891.70/x
  3. Step 3: Cross multiply
    9,794.10x = 14,669.55 × 5,891.70
  4. Step 4: Simplify right side
    9,794.10x = 86,428,587.74
  5. Step 5: Solve for x
    x = 86,428,587.74/9,794.10
  6. Step 6: Final answer
    x = 8,824.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.