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Finding the Fourth Proportional to 6,416.52, 9,626.38 and 3,497.80

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Solution

The fourth proportional to 6,416.52, 9,626.38 and 3,497.80 is: 5,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.52 : 9,626.38 = 3,497.80 : x
  2. Step 2: Convert to fraction form
    6,416.52/9,626.38 = 3,497.80/x
  3. Step 3: Cross multiply
    6,416.52x = 9,626.38 × 3,497.80
  4. Step 4: Simplify right side
    6,416.52x = 33,671,151.96
  5. Step 5: Solve for x
    x = 33,671,151.96/6,416.52
  6. Step 6: Final answer
    x = 5,247.57

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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.