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Finding the Fourth Proportional to 6,365.86, 9,528.98 and 3,436.90

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Solution

The fourth proportional to 6,365.86, 9,528.98 and 3,436.90 is: 5,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.86 : 9,528.98 = 3,436.90 : x
  2. Step 2: Convert to fraction form
    6,365.86/9,528.98 = 3,436.90/x
  3. Step 3: Cross multiply
    6,365.86x = 9,528.98 × 3,436.90
  4. Step 4: Simplify right side
    6,365.86x = 32,750,151.36
  5. Step 5: Solve for x
    x = 32,750,151.36/6,365.86
  6. Step 6: Final answer
    x = 5,144.65

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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.