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Finding the Fourth Proportional to 6,284.72, 9,423.84 and 4,094.48

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Solution

The fourth proportional to 6,284.72, 9,423.84 and 4,094.48 is: 6,139.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.72 : 9,423.84 = 4,094.48 : x
  2. Step 2: Convert to fraction form
    6,284.72/9,423.84 = 4,094.48/x
  3. Step 3: Cross multiply
    6,284.72x = 9,423.84 × 4,094.48
  4. Step 4: Simplify right side
    6,284.72x = 38,585,724.40
  5. Step 5: Solve for x
    x = 38,585,724.40/6,284.72
  6. Step 6: Final answer
    x = 6,139.61

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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.