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Finding the Fourth Proportional to 9,199.72, 13,728.88 and 8,215.52

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Solution

The fourth proportional to 9,199.72, 13,728.88 and 8,215.52 is: 12,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.72 : 13,728.88 = 8,215.52 : x
  2. Step 2: Convert to fraction form
    9,199.72/13,728.88 = 8,215.52/x
  3. Step 3: Cross multiply
    9,199.72x = 13,728.88 × 8,215.52
  4. Step 4: Simplify right side
    9,199.72x = 112,789,888.22
  5. Step 5: Solve for x
    x = 112,789,888.22/9,199.72
  6. Step 6: Final answer
    x = 12,260.14

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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.