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Finding the Fourth Proportional to 9,794.34, 14,690.36 and 3,218.91

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Solution

The fourth proportional to 9,794.34, 14,690.36 and 3,218.91 is: 4,827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.34 : 14,690.36 = 3,218.91 : x
  2. Step 2: Convert to fraction form
    9,794.34/14,690.36 = 3,218.91/x
  3. Step 3: Cross multiply
    9,794.34x = 14,690.36 × 3,218.91
  4. Step 4: Simplify right side
    9,794.34x = 47,286,930.61
  5. Step 5: Solve for x
    x = 47,286,930.61/9,794.34
  6. Step 6: Final answer
    x = 4,827.99

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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.