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Finding the Fourth Proportional to 9,009.99, 12,434.04 and 5,031

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Solution

The fourth proportional to 9,009.99, 12,434.04 and 5,031 is: 6,942.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009.99 : 12,434.04 = 5,031 : x
  2. Step 2: Convert to fraction form
    9,009.99/12,434.04 = 5,031/x
  3. Step 3: Cross multiply
    9,009.99x = 12,434.04 × 5,031
  4. Step 4: Simplify right side
    9,009.99x = 62,555,655.24
  5. Step 5: Solve for x
    x = 62,555,655.24/9,009.99
  6. Step 6: Final answer
    x = 6,942.92

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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.