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Finding the Fourth Proportional to 6,356.88, 9,538.02 and 2,464.02

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Solution

The fourth proportional to 6,356.88, 9,538.02 and 2,464.02 is: 3,697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.88 : 9,538.02 = 2,464.02 : x
  2. Step 2: Convert to fraction form
    6,356.88/9,538.02 = 2,464.02/x
  3. Step 3: Cross multiply
    6,356.88x = 9,538.02 × 2,464.02
  4. Step 4: Simplify right side
    6,356.88x = 23,501,872.04
  5. Step 5: Solve for x
    x = 23,501,872.04/6,356.88
  6. Step 6: Final answer
    x = 3,697.08

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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.