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Finding the Fourth Proportional to 9,506.72, 14,246.76 and 5,336.48

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Solution

The fourth proportional to 9,506.72, 14,246.76 and 5,336.48 is: 7,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.72 : 14,246.76 = 5,336.48 : x
  2. Step 2: Convert to fraction form
    9,506.72/14,246.76 = 5,336.48/x
  3. Step 3: Cross multiply
    9,506.72x = 14,246.76 × 5,336.48
  4. Step 4: Simplify right side
    9,506.72x = 76,027,549.80
  5. Step 5: Solve for x
    x = 76,027,549.80/9,506.72
  6. Step 6: Final answer
    x = 7,997.24

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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.