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Finding the Fourth Proportional to 9,808.69, 14,704.76 and 4,257.85

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Solution

The fourth proportional to 9,808.69, 14,704.76 and 4,257.85 is: 6,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.69 : 14,704.76 = 4,257.85 : x
  2. Step 2: Convert to fraction form
    9,808.69/14,704.76 = 4,257.85/x
  3. Step 3: Cross multiply
    9,808.69x = 14,704.76 × 4,257.85
  4. Step 4: Simplify right side
    9,808.69x = 62,610,662.37
  5. Step 5: Solve for x
    x = 62,610,662.37/9,808.69
  6. Step 6: Final answer
    x = 6,383.18

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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.