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Finding the Fourth Proportional to 6,509.21, 9,791.53 and 5,900.27

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Solution

The fourth proportional to 6,509.21, 9,791.53 and 5,900.27 is: 8,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.21 : 9,791.53 = 5,900.27 : x
  2. Step 2: Convert to fraction form
    6,509.21/9,791.53 = 5,900.27/x
  3. Step 3: Cross multiply
    6,509.21x = 9,791.53 × 5,900.27
  4. Step 4: Simplify right side
    6,509.21x = 57,772,667.73
  5. Step 5: Solve for x
    x = 57,772,667.73/6,509.21
  6. Step 6: Final answer
    x = 8,875.53

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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.