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Finding the Fourth Proportional to 9,404.58, 12,974.15 and 6,046.77

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Solution

The fourth proportional to 9,404.58, 12,974.15 and 6,046.77 is: 8,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.58 : 12,974.15 = 6,046.77 : x
  2. Step 2: Convert to fraction form
    9,404.58/12,974.15 = 6,046.77/x
  3. Step 3: Cross multiply
    9,404.58x = 12,974.15 × 6,046.77
  4. Step 4: Simplify right side
    9,404.58x = 78,451,670.76
  5. Step 5: Solve for x
    x = 78,451,670.76/9,404.58
  6. Step 6: Final answer
    x = 8,341.86

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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.