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Finding the Fourth Proportional to 6,200.27, 9,303.14 and 2,509.72

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Solution

The fourth proportional to 6,200.27, 9,303.14 and 2,509.72 is: 3,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.27 : 9,303.14 = 2,509.72 : x
  2. Step 2: Convert to fraction form
    6,200.27/9,303.14 = 2,509.72/x
  3. Step 3: Cross multiply
    6,200.27x = 9,303.14 × 2,509.72
  4. Step 4: Simplify right side
    6,200.27x = 23,348,276.52
  5. Step 5: Solve for x
    x = 23,348,276.52/6,200.27
  6. Step 6: Final answer
    x = 3,765.69

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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.