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Finding the Fourth Proportional to 6,134.58, 9,196.44 and 4,572.66

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Solution

The fourth proportional to 6,134.58, 9,196.44 and 4,572.66 is: 6,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.58 : 9,196.44 = 4,572.66 : x
  2. Step 2: Convert to fraction form
    6,134.58/9,196.44 = 4,572.66/x
  3. Step 3: Cross multiply
    6,134.58x = 9,196.44 × 4,572.66
  4. Step 4: Simplify right side
    6,134.58x = 42,052,193.33
  5. Step 5: Solve for x
    x = 42,052,193.33/6,134.58
  6. Step 6: Final answer
    x = 6,854.94

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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.