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Finding the Fourth Proportional to 6,369.24, 9,547.11 and 3,405.87

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Solution

The fourth proportional to 6,369.24, 9,547.11 and 3,405.87 is: 5,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.24 : 9,547.11 = 3,405.87 : x
  2. Step 2: Convert to fraction form
    6,369.24/9,547.11 = 3,405.87/x
  3. Step 3: Cross multiply
    6,369.24x = 9,547.11 × 3,405.87
  4. Step 4: Simplify right side
    6,369.24x = 32,516,215.54
  5. Step 5: Solve for x
    x = 32,516,215.54/6,369.24
  6. Step 6: Final answer
    x = 5,105.20

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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.