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Finding the Fourth Proportional to 6,468.28, 9,693.90 and 4,695.24

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Solution

The fourth proportional to 6,468.28, 9,693.90 and 4,695.24 is: 7,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.28 : 9,693.90 = 4,695.24 : x
  2. Step 2: Convert to fraction form
    6,468.28/9,693.90 = 4,695.24/x
  3. Step 3: Cross multiply
    6,468.28x = 9,693.90 × 4,695.24
  4. Step 4: Simplify right side
    6,468.28x = 45,515,187.04
  5. Step 5: Solve for x
    x = 45,515,187.04/6,468.28
  6. Step 6: Final answer
    x = 7,036.68

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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.