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Finding the Fourth Proportional to 9,477.72, 14,221.56 and 6,722.16

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Solution

The fourth proportional to 9,477.72, 14,221.56 and 6,722.16 is: 10,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.72 : 14,221.56 = 6,722.16 : x
  2. Step 2: Convert to fraction form
    9,477.72/14,221.56 = 6,722.16/x
  3. Step 3: Cross multiply
    9,477.72x = 14,221.56 × 6,722.16
  4. Step 4: Simplify right side
    9,477.72x = 95,599,601.77
  5. Step 5: Solve for x
    x = 95,599,601.77/9,477.72
  6. Step 6: Final answer
    x = 10,086.77

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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.