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Finding the Fourth Proportional to 6,333.76, 9,487.36 and 4,013.76

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Solution

The fourth proportional to 6,333.76, 9,487.36 and 4,013.76 is: 6,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.76 : 9,487.36 = 4,013.76 : x
  2. Step 2: Convert to fraction form
    6,333.76/9,487.36 = 4,013.76/x
  3. Step 3: Cross multiply
    6,333.76x = 9,487.36 × 4,013.76
  4. Step 4: Simplify right side
    6,333.76x = 38,079,986.07
  5. Step 5: Solve for x
    x = 38,079,986.07/6,333.76
  6. Step 6: Final answer
    x = 6,012.22

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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.