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Finding the Fourth Proportional to 6,298.16, 9,464.52 and 5,940.32

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Solution

The fourth proportional to 6,298.16, 9,464.52 and 5,940.32 is: 8,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.16 : 9,464.52 = 5,940.32 : x
  2. Step 2: Convert to fraction form
    6,298.16/9,464.52 = 5,940.32/x
  3. Step 3: Cross multiply
    6,298.16x = 9,464.52 × 5,940.32
  4. Step 4: Simplify right side
    6,298.16x = 56,222,277.45
  5. Step 5: Solve for x
    x = 56,222,277.45/6,298.16
  6. Step 6: Final answer
    x = 8,926.78

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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.