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Finding the Fourth Proportional to 9,143.46, 13,649.04 and 8,036.34

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Solution

The fourth proportional to 9,143.46, 13,649.04 and 8,036.34 is: 11,996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.46 : 13,649.04 = 8,036.34 : x
  2. Step 2: Convert to fraction form
    9,143.46/13,649.04 = 8,036.34/x
  3. Step 3: Cross multiply
    9,143.46x = 13,649.04 × 8,036.34
  4. Step 4: Simplify right side
    9,143.46x = 109,688,326.11
  5. Step 5: Solve for x
    x = 109,688,326.11/9,143.46
  6. Step 6: Final answer
    x = 11,996.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.