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Finding the Fourth Proportional to 6,596.22, 9,102.45 and 3,763.68

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Solution

The fourth proportional to 6,596.22, 9,102.45 and 3,763.68 is: 5,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.22 : 9,102.45 = 3,763.68 : x
  2. Step 2: Convert to fraction form
    6,596.22/9,102.45 = 3,763.68/x
  3. Step 3: Cross multiply
    6,596.22x = 9,102.45 × 3,763.68
  4. Step 4: Simplify right side
    6,596.22x = 34,258,709.02
  5. Step 5: Solve for x
    x = 34,258,709.02/6,596.22
  6. Step 6: Final answer
    x = 5,193.69

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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.