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Finding the Fourth Proportional to 9,612.52, 13,261.38 and 6,784

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Solution

The fourth proportional to 9,612.52, 13,261.38 and 6,784 is: 9,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.52 : 13,261.38 = 6,784 : x
  2. Step 2: Convert to fraction form
    9,612.52/13,261.38 = 6,784/x
  3. Step 3: Cross multiply
    9,612.52x = 13,261.38 × 6,784
  4. Step 4: Simplify right side
    9,612.52x = 89,965,201.92
  5. Step 5: Solve for x
    x = 89,965,201.92/9,612.52
  6. Step 6: Final answer
    x = 9,359.17

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Why These Related Problems?

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