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Finding the Fourth Proportional to 6,129.24, 9,197.36 and 5,101.69

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Solution

The fourth proportional to 6,129.24, 9,197.36 and 5,101.69 is: 7,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.24 : 9,197.36 = 5,101.69 : x
  2. Step 2: Convert to fraction form
    6,129.24/9,197.36 = 5,101.69/x
  3. Step 3: Cross multiply
    6,129.24x = 9,197.36 × 5,101.69
  4. Step 4: Simplify right side
    6,129.24x = 46,922,079.54
  5. Step 5: Solve for x
    x = 46,922,079.54/6,129.24
  6. Step 6: Final answer
    x = 7,655.45

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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.