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Finding the Fourth Proportional to 9,393.30, 12,966.01 and 5,811

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Solution

The fourth proportional to 9,393.30, 12,966.01 and 5,811 is: 8,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.30 : 12,966.01 = 5,811 : x
  2. Step 2: Convert to fraction form
    9,393.30/12,966.01 = 5,811/x
  3. Step 3: Cross multiply
    9,393.30x = 12,966.01 × 5,811
  4. Step 4: Simplify right side
    9,393.30x = 75,345,484.11
  5. Step 5: Solve for x
    x = 75,345,484.11/9,393.30
  6. Step 6: Final answer
    x = 8,021.19

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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.