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Finding the Fourth Proportional to 9,415.26, 12,993.52 and 5,223.50

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Solution

The fourth proportional to 9,415.26, 12,993.52 and 5,223.50 is: 7,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.26 : 12,993.52 = 5,223.50 : x
  2. Step 2: Convert to fraction form
    9,415.26/12,993.52 = 5,223.50/x
  3. Step 3: Cross multiply
    9,415.26x = 12,993.52 × 5,223.50
  4. Step 4: Simplify right side
    9,415.26x = 67,871,651.72
  5. Step 5: Solve for x
    x = 67,871,651.72/9,415.26
  6. Step 6: Final answer
    x = 7,208.69

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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.