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Finding the Fourth Proportional to 9,817.12, 14,719.83 and 6,658.44

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Solution

The fourth proportional to 9,817.12, 14,719.83 and 6,658.44 is: 9,983.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.12 : 14,719.83 = 6,658.44 : x
  2. Step 2: Convert to fraction form
    9,817.12/14,719.83 = 6,658.44/x
  3. Step 3: Cross multiply
    9,817.12x = 14,719.83 × 6,658.44
  4. Step 4: Simplify right side
    9,817.12x = 98,011,104.87
  5. Step 5: Solve for x
    x = 98,011,104.87/9,817.12
  6. Step 6: Final answer
    x = 9,983.69

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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.