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Finding the Fourth Proportional to 6,336.56, 9,503.42 and 1,832.63

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Solution

The fourth proportional to 6,336.56, 9,503.42 and 1,832.63 is: 2,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.56 : 9,503.42 = 1,832.63 : x
  2. Step 2: Convert to fraction form
    6,336.56/9,503.42 = 1,832.63/x
  3. Step 3: Cross multiply
    6,336.56x = 9,503.42 × 1,832.63
  4. Step 4: Simplify right side
    6,336.56x = 17,416,235.71
  5. Step 5: Solve for x
    x = 17,416,235.71/6,336.56
  6. Step 6: Final answer
    x = 2,748.53

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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.