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Finding the Fourth Proportional to 9,679.92, 14,426.58 and 9,485.52

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Solution

The fourth proportional to 9,679.92, 14,426.58 and 9,485.52 is: 14,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.92 : 14,426.58 = 9,485.52 : x
  2. Step 2: Convert to fraction form
    9,679.92/14,426.58 = 9,485.52/x
  3. Step 3: Cross multiply
    9,679.92x = 14,426.58 × 9,485.52
  4. Step 4: Simplify right side
    9,679.92x = 136,843,613.12
  5. Step 5: Solve for x
    x = 136,843,613.12/9,679.92
  6. Step 6: Final answer
    x = 14,136.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.