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Finding the Fourth Proportional to 9,724.22, 13,412.25 and 7,334.28

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Solution

The fourth proportional to 9,724.22, 13,412.25 and 7,334.28 is: 10,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.22 : 13,412.25 = 7,334.28 : x
  2. Step 2: Convert to fraction form
    9,724.22/13,412.25 = 7,334.28/x
  3. Step 3: Cross multiply
    9,724.22x = 13,412.25 × 7,334.28
  4. Step 4: Simplify right side
    9,724.22x = 98,369,196.93
  5. Step 5: Solve for x
    x = 98,369,196.93/9,724.22
  6. Step 6: Final answer
    x = 10,115.90

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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.