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Finding the Fourth Proportional to 9,794.60, 14,691.90 and 7,461.80

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Solution

The fourth proportional to 9,794.60, 14,691.90 and 7,461.80 is: 11,192.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.60 : 14,691.90 = 7,461.80 : x
  2. Step 2: Convert to fraction form
    9,794.60/14,691.90 = 7,461.80/x
  3. Step 3: Cross multiply
    9,794.60x = 14,691.90 × 7,461.80
  4. Step 4: Simplify right side
    9,794.60x = 109,628,019.42
  5. Step 5: Solve for x
    x = 109,628,019.42/9,794.60
  6. Step 6: Final answer
    x = 11,192.70

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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.