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Finding the Fourth Proportional to 9,578.58, 14,359.38 and 3,733.82

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Solution

The fourth proportional to 9,578.58, 14,359.38 and 3,733.82 is: 5,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.58 : 14,359.38 = 3,733.82 : x
  2. Step 2: Convert to fraction form
    9,578.58/14,359.38 = 3,733.82/x
  3. Step 3: Cross multiply
    9,578.58x = 14,359.38 × 3,733.82
  4. Step 4: Simplify right side
    9,578.58x = 53,615,340.23
  5. Step 5: Solve for x
    x = 53,615,340.23/9,578.58
  6. Step 6: Final answer
    x = 5,597.42

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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.