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Finding the Fourth Proportional to 6,120.42, 9,180.63 and 1,503.42

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Solution

The fourth proportional to 6,120.42, 9,180.63 and 1,503.42 is: 2,255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.42 : 9,180.63 = 1,503.42 : x
  2. Step 2: Convert to fraction form
    6,120.42/9,180.63 = 1,503.42/x
  3. Step 3: Cross multiply
    6,120.42x = 9,180.63 × 1,503.42
  4. Step 4: Simplify right side
    6,120.42x = 13,802,342.75
  5. Step 5: Solve for x
    x = 13,802,342.75/6,120.42
  6. Step 6: Final answer
    x = 2,255.13

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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.