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Finding the Fourth Proportional to 9,011.33, 12,434.40 and 5,031.93

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Solution

The fourth proportional to 9,011.33, 12,434.40 and 5,031.93 is: 6,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.33 : 12,434.40 = 5,031.93 : x
  2. Step 2: Convert to fraction form
    9,011.33/12,434.40 = 5,031.93/x
  3. Step 3: Cross multiply
    9,011.33x = 12,434.40 × 5,031.93
  4. Step 4: Simplify right side
    9,011.33x = 62,569,030.39
  5. Step 5: Solve for x
    x = 62,569,030.39/9,011.33
  6. Step 6: Final answer
    x = 6,943.38

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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.