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Finding the Fourth Proportional to 6,133.60, 9,200.58 and 2,237.68

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Solution

The fourth proportional to 6,133.60, 9,200.58 and 2,237.68 is: 3,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.60 : 9,200.58 = 2,237.68 : x
  2. Step 2: Convert to fraction form
    6,133.60/9,200.58 = 2,237.68/x
  3. Step 3: Cross multiply
    6,133.60x = 9,200.58 × 2,237.68
  4. Step 4: Simplify right side
    6,133.60x = 20,587,953.85
  5. Step 5: Solve for x
    x = 20,587,953.85/6,133.60
  6. Step 6: Final answer
    x = 3,356.59

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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.