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Finding the Fourth Proportional to 9,324.04, 13,986.08 and 2,398

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Solution

The fourth proportional to 9,324.04, 13,986.08 and 2,398 is: 3,597.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.04 : 13,986.08 = 2,398 : x
  2. Step 2: Convert to fraction form
    9,324.04/13,986.08 = 2,398/x
  3. Step 3: Cross multiply
    9,324.04x = 13,986.08 × 2,398
  4. Step 4: Simplify right side
    9,324.04x = 33,538,619.84
  5. Step 5: Solve for x
    x = 33,538,619.84/9,324.04
  6. Step 6: Final answer
    x = 3,597.01

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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.