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Finding the Fourth Proportional to 7,201.24, 9,939 and 4,216.90

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Solution

The fourth proportional to 7,201.24, 9,939 and 4,216.90 is: 5,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.24 : 9,939 = 4,216.90 : x
  2. Step 2: Convert to fraction form
    7,201.24/9,939 = 4,216.90/x
  3. Step 3: Cross multiply
    7,201.24x = 9,939 × 4,216.90
  4. Step 4: Simplify right side
    7,201.24x = 41,911,769.10
  5. Step 5: Solve for x
    x = 41,911,769.10/7,201.24
  6. Step 6: Final answer
    x = 5,820.08

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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.