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Finding the Fourth Proportional to 6,150.30, 9,201.15 and 5,337.60

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Solution

The fourth proportional to 6,150.30, 9,201.15 and 5,337.60 is: 7,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.30 : 9,201.15 = 5,337.60 : x
  2. Step 2: Convert to fraction form
    6,150.30/9,201.15 = 5,337.60/x
  3. Step 3: Cross multiply
    6,150.30x = 9,201.15 × 5,337.60
  4. Step 4: Simplify right side
    6,150.30x = 49,112,058.24
  5. Step 5: Solve for x
    x = 49,112,058.24/6,150.30
  6. Step 6: Final answer
    x = 7,985.31

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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.