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Finding the Fourth Proportional to 7,144.37, 9,846.65 and 6,028.19

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Solution

The fourth proportional to 7,144.37, 9,846.65 and 6,028.19 is: 8,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.37 : 9,846.65 = 6,028.19 : x
  2. Step 2: Convert to fraction form
    7,144.37/9,846.65 = 6,028.19/x
  3. Step 3: Cross multiply
    7,144.37x = 9,846.65 × 6,028.19
  4. Step 4: Simplify right side
    7,144.37x = 59,357,397.69
  5. Step 5: Solve for x
    x = 59,357,397.69/7,144.37
  6. Step 6: Final answer
    x = 8,308.28

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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.