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Finding the Fourth Proportional to 6,933.67, 10,403.51 and 3,646.01

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Solution

The fourth proportional to 6,933.67, 10,403.51 and 3,646.01 is: 5,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.67 : 10,403.51 = 3,646.01 : x
  2. Step 2: Convert to fraction form
    6,933.67/10,403.51 = 3,646.01/x
  3. Step 3: Cross multiply
    6,933.67x = 10,403.51 × 3,646.01
  4. Step 4: Simplify right side
    6,933.67x = 37,931,309.27
  5. Step 5: Solve for x
    x = 37,931,309.27/6,933.67
  6. Step 6: Final answer
    x = 5,470.60

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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.