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Finding the Fourth Proportional to 9,597.58, 14,395.22 and 2,578.12

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Solution

The fourth proportional to 9,597.58, 14,395.22 and 2,578.12 is: 3,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.58 : 14,395.22 = 2,578.12 : x
  2. Step 2: Convert to fraction form
    9,597.58/14,395.22 = 2,578.12/x
  3. Step 3: Cross multiply
    9,597.58x = 14,395.22 × 2,578.12
  4. Step 4: Simplify right side
    9,597.58x = 37,112,604.59
  5. Step 5: Solve for x
    x = 37,112,604.59/9,597.58
  6. Step 6: Final answer
    x = 3,866.87

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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.