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Finding the Fourth Proportional to 9,581.64, 14,348.39 and 6,061.03

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Solution

The fourth proportional to 9,581.64, 14,348.39 and 6,061.03 is: 9,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.64 : 14,348.39 = 6,061.03 : x
  2. Step 2: Convert to fraction form
    9,581.64/14,348.39 = 6,061.03/x
  3. Step 3: Cross multiply
    9,581.64x = 14,348.39 × 6,061.03
  4. Step 4: Simplify right side
    9,581.64x = 86,965,990.16
  5. Step 5: Solve for x
    x = 86,965,990.16/9,581.64
  6. Step 6: Final answer
    x = 9,076.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.