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Finding the Fourth Proportional to 6,431.24, 9,646.86 and 3,359.24

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Solution

The fourth proportional to 6,431.24, 9,646.86 and 3,359.24 is: 5,038.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.24 : 9,646.86 = 3,359.24 : x
  2. Step 2: Convert to fraction form
    6,431.24/9,646.86 = 3,359.24/x
  3. Step 3: Cross multiply
    6,431.24x = 9,646.86 × 3,359.24
  4. Step 4: Simplify right side
    6,431.24x = 32,406,117.99
  5. Step 5: Solve for x
    x = 32,406,117.99/6,431.24
  6. Step 6: Final answer
    x = 5,038.86

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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.