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Finding the Fourth Proportional to 9,724.95, 13,420.23 and 5,694.15

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Solution

The fourth proportional to 9,724.95, 13,420.23 and 5,694.15 is: 7,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.95 : 13,420.23 = 5,694.15 : x
  2. Step 2: Convert to fraction form
    9,724.95/13,420.23 = 5,694.15/x
  3. Step 3: Cross multiply
    9,724.95x = 13,420.23 × 5,694.15
  4. Step 4: Simplify right side
    9,724.95x = 76,416,802.65
  5. Step 5: Solve for x
    x = 76,416,802.65/9,724.95
  6. Step 6: Final answer
    x = 7,857.81

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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.