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Finding the Fourth Proportional to 7,019.46, 9,733.01 and 6,785.27

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Solution

The fourth proportional to 7,019.46, 9,733.01 and 6,785.27 is: 9,408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019.46 : 9,733.01 = 6,785.27 : x
  2. Step 2: Convert to fraction form
    7,019.46/9,733.01 = 6,785.27/x
  3. Step 3: Cross multiply
    7,019.46x = 9,733.01 × 6,785.27
  4. Step 4: Simplify right side
    7,019.46x = 66,041,092.84
  5. Step 5: Solve for x
    x = 66,041,092.84/7,019.46
  6. Step 6: Final answer
    x = 9,408.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.