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Finding the Fourth Proportional to 9,760.92, 13,470.08 and 5,784

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Solution

The fourth proportional to 9,760.92, 13,470.08 and 5,784 is: 7,981.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.92 : 13,470.08 = 5,784 : x
  2. Step 2: Convert to fraction form
    9,760.92/13,470.08 = 5,784/x
  3. Step 3: Cross multiply
    9,760.92x = 13,470.08 × 5,784
  4. Step 4: Simplify right side
    9,760.92x = 77,910,942.72
  5. Step 5: Solve for x
    x = 77,910,942.72/9,760.92
  6. Step 6: Final answer
    x = 7,981.93

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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.