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Finding the Fourth Proportional to 8,609.72, 12,907.02 and 5,681.84

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Solution

The fourth proportional to 8,609.72, 12,907.02 and 5,681.84 is: 8,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.72 : 12,907.02 = 5,681.84 : x
  2. Step 2: Convert to fraction form
    8,609.72/12,907.02 = 5,681.84/x
  3. Step 3: Cross multiply
    8,609.72x = 12,907.02 × 5,681.84
  4. Step 4: Simplify right side
    8,609.72x = 73,335,622.52
  5. Step 5: Solve for x
    x = 73,335,622.52/8,609.72
  6. Step 6: Final answer
    x = 8,517.77

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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.