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Finding the Fourth Proportional to 6,324.77, 9,487.24 and 3,037.14

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Solution

The fourth proportional to 6,324.77, 9,487.24 and 3,037.14 is: 4,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.77 : 9,487.24 = 3,037.14 : x
  2. Step 2: Convert to fraction form
    6,324.77/9,487.24 = 3,037.14/x
  3. Step 3: Cross multiply
    6,324.77x = 9,487.24 × 3,037.14
  4. Step 4: Simplify right side
    6,324.77x = 28,814,068.50
  5. Step 5: Solve for x
    x = 28,814,068.50/6,324.77
  6. Step 6: Final answer
    x = 4,555.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.