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Finding the Fourth Proportional to 9,581.58, 14,366.43 and 5,424.39

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Solution

The fourth proportional to 9,581.58, 14,366.43 and 5,424.39 is: 8,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.58 : 14,366.43 = 5,424.39 : x
  2. Step 2: Convert to fraction form
    9,581.58/14,366.43 = 5,424.39/x
  3. Step 3: Cross multiply
    9,581.58x = 14,366.43 × 5,424.39
  4. Step 4: Simplify right side
    9,581.58x = 77,929,119.23
  5. Step 5: Solve for x
    x = 77,929,119.23/9,581.58
  6. Step 6: Final answer
    x = 8,133.22

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