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Finding the Fourth Proportional to 6,667.60, 9,201.27 and 3,835.52

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Solution

The fourth proportional to 6,667.60, 9,201.27 and 3,835.52 is: 5,293.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.60 : 9,201.27 = 3,835.52 : x
  2. Step 2: Convert to fraction form
    6,667.60/9,201.27 = 3,835.52/x
  3. Step 3: Cross multiply
    6,667.60x = 9,201.27 × 3,835.52
  4. Step 4: Simplify right side
    6,667.60x = 35,291,636.42
  5. Step 5: Solve for x
    x = 35,291,636.42/6,667.60
  6. Step 6: Final answer
    x = 5,293.00

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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.