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Finding the Fourth Proportional to 9,415.24, 12,993.62 and 5,437.08

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Solution

The fourth proportional to 9,415.24, 12,993.62 and 5,437.08 is: 7,503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.24 : 12,993.62 = 5,437.08 : x
  2. Step 2: Convert to fraction form
    9,415.24/12,993.62 = 5,437.08/x
  3. Step 3: Cross multiply
    9,415.24x = 12,993.62 × 5,437.08
  4. Step 4: Simplify right side
    9,415.24x = 70,647,351.43
  5. Step 5: Solve for x
    x = 70,647,351.43/9,415.24
  6. Step 6: Final answer
    x = 7,503.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.