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Finding the Fourth Proportional to 9,913.01, 14,864.81 and 5,754.29

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Solution

The fourth proportional to 9,913.01, 14,864.81 and 5,754.29 is: 8,628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.01 : 14,864.81 = 5,754.29 : x
  2. Step 2: Convert to fraction form
    9,913.01/14,864.81 = 5,754.29/x
  3. Step 3: Cross multiply
    9,913.01x = 14,864.81 × 5,754.29
  4. Step 4: Simplify right side
    9,913.01x = 85,536,324.44
  5. Step 5: Solve for x
    x = 85,536,324.44/9,913.01
  6. Step 6: Final answer
    x = 8,628.70

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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.