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Finding the Fourth Proportional to 6,326.13, 9,492.91 and 2,816.29

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Solution

The fourth proportional to 6,326.13, 9,492.91 and 2,816.29 is: 4,226.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.13 : 9,492.91 = 2,816.29 : x
  2. Step 2: Convert to fraction form
    6,326.13/9,492.91 = 2,816.29/x
  3. Step 3: Cross multiply
    6,326.13x = 9,492.91 × 2,816.29
  4. Step 4: Simplify right side
    6,326.13x = 26,734,787.50
  5. Step 5: Solve for x
    x = 26,734,787.50/6,326.13
  6. Step 6: Final answer
    x = 4,226.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.