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Finding the Fourth Proportional to 6,348.30, 9,511.65 and 4,037.10

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Solution

The fourth proportional to 6,348.30, 9,511.65 and 4,037.10 is: 6,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.30 : 9,511.65 = 4,037.10 : x
  2. Step 2: Convert to fraction form
    6,348.30/9,511.65 = 4,037.10/x
  3. Step 3: Cross multiply
    6,348.30x = 9,511.65 × 4,037.10
  4. Step 4: Simplify right side
    6,348.30x = 38,399,482.22
  5. Step 5: Solve for x
    x = 38,399,482.22/6,348.30
  6. Step 6: Final answer
    x = 6,048.78

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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.