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Finding the Fourth Proportional to 9,808.92, 14,704.34 and 3,567.42

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Solution

The fourth proportional to 9,808.92, 14,704.34 and 3,567.42 is: 5,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.92 : 14,704.34 = 3,567.42 : x
  2. Step 2: Convert to fraction form
    9,808.92/14,704.34 = 3,567.42/x
  3. Step 3: Cross multiply
    9,808.92x = 14,704.34 × 3,567.42
  4. Step 4: Simplify right side
    9,808.92x = 52,456,538.77
  5. Step 5: Solve for x
    x = 52,456,538.77/9,808.92
  6. Step 6: Final answer
    x = 5,347.84

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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.