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Finding the Fourth Proportional to 9,384.72, 12,950.67 and 5,192.97

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Solution

The fourth proportional to 9,384.72, 12,950.67 and 5,192.97 is: 7,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.72 : 12,950.67 = 5,192.97 : x
  2. Step 2: Convert to fraction form
    9,384.72/12,950.67 = 5,192.97/x
  3. Step 3: Cross multiply
    9,384.72x = 12,950.67 × 5,192.97
  4. Step 4: Simplify right side
    9,384.72x = 67,252,440.79
  5. Step 5: Solve for x
    x = 67,252,440.79/9,384.72
  6. Step 6: Final answer
    x = 7,166.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.