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Finding the Fourth Proportional to 6,384.29, 9,560.37 and 4,037.18

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Solution

The fourth proportional to 6,384.29, 9,560.37 and 4,037.18 is: 6,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.29 : 9,560.37 = 4,037.18 : x
  2. Step 2: Convert to fraction form
    6,384.29/9,560.37 = 4,037.18/x
  3. Step 3: Cross multiply
    6,384.29x = 9,560.37 × 4,037.18
  4. Step 4: Simplify right side
    6,384.29x = 38,596,934.56
  5. Step 5: Solve for x
    x = 38,596,934.56/6,384.29
  6. Step 6: Final answer
    x = 6,045.61

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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.