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Finding the Fourth Proportional to 6,117.35, 9,157.80 and 3,650.90

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Solution

The fourth proportional to 6,117.35, 9,157.80 and 3,650.90 is: 5,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.35 : 9,157.80 = 3,650.90 : x
  2. Step 2: Convert to fraction form
    6,117.35/9,157.80 = 3,650.90/x
  3. Step 3: Cross multiply
    6,117.35x = 9,157.80 × 3,650.90
  4. Step 4: Simplify right side
    6,117.35x = 33,434,212.02
  5. Step 5: Solve for x
    x = 33,434,212.02/6,117.35
  6. Step 6: Final answer
    x = 5,465.47

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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.