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Finding the Fourth Proportional to 9,141.48, 13,646.03 and 8,034.32

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Solution

The fourth proportional to 9,141.48, 13,646.03 and 8,034.32 is: 11,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.48 : 13,646.03 = 8,034.32 : x
  2. Step 2: Convert to fraction form
    9,141.48/13,646.03 = 8,034.32/x
  3. Step 3: Cross multiply
    9,141.48x = 13,646.03 × 8,034.32
  4. Step 4: Simplify right side
    9,141.48x = 109,636,571.75
  5. Step 5: Solve for x
    x = 109,636,571.75/9,141.48
  6. Step 6: Final answer
    x = 11,993.31

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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.