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Finding the Fourth Proportional to 6,148.51, 9,223.37 and 4,202.08

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Solution

The fourth proportional to 6,148.51, 9,223.37 and 4,202.08 is: 6,303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.51 : 9,223.37 = 4,202.08 : x
  2. Step 2: Convert to fraction form
    6,148.51/9,223.37 = 4,202.08/x
  3. Step 3: Cross multiply
    6,148.51x = 9,223.37 × 4,202.08
  4. Step 4: Simplify right side
    6,148.51x = 38,757,310.30
  5. Step 5: Solve for x
    x = 38,757,310.30/6,148.51
  6. Step 6: Final answer
    x = 6,303.53

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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.