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Finding the Fourth Proportional to 6,365.45, 9,544.50 and 2,465.30

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Solution

The fourth proportional to 6,365.45, 9,544.50 and 2,465.30 is: 3,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.45 : 9,544.50 = 2,465.30 : x
  2. Step 2: Convert to fraction form
    6,365.45/9,544.50 = 2,465.30/x
  3. Step 3: Cross multiply
    6,365.45x = 9,544.50 × 2,465.30
  4. Step 4: Simplify right side
    6,365.45x = 23,530,079.71
  5. Step 5: Solve for x
    x = 23,530,079.71/6,365.45
  6. Step 6: Final answer
    x = 3,696.53

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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.