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Finding the Fourth Proportional to 6,534.59, 9,020.37 and 4,176.27

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Solution

The fourth proportional to 6,534.59, 9,020.37 and 4,176.27 is: 5,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.59 : 9,020.37 = 4,176.27 : x
  2. Step 2: Convert to fraction form
    6,534.59/9,020.37 = 4,176.27/x
  3. Step 3: Cross multiply
    6,534.59x = 9,020.37 × 4,176.27
  4. Step 4: Simplify right side
    6,534.59x = 37,671,500.62
  5. Step 5: Solve for x
    x = 37,671,500.62/6,534.59
  6. Step 6: Final answer
    x = 5,764.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.