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Finding the Fourth Proportional to 9,706.60, 14,558.78 and 2,687.12

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Solution

The fourth proportional to 9,706.60, 14,558.78 and 2,687.12 is: 4,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.60 : 14,558.78 = 2,687.12 : x
  2. Step 2: Convert to fraction form
    9,706.60/14,558.78 = 2,687.12/x
  3. Step 3: Cross multiply
    9,706.60x = 14,558.78 × 2,687.12
  4. Step 4: Simplify right side
    9,706.60x = 39,121,188.91
  5. Step 5: Solve for x
    x = 39,121,188.91/9,706.60
  6. Step 6: Final answer
    x = 4,030.37

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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.