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Finding the Fourth Proportional to 6,523.02, 9,782.28 and 4,343.22

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Solution

The fourth proportional to 6,523.02, 9,782.28 and 4,343.22 is: 6,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.02 : 9,782.28 = 4,343.22 : x
  2. Step 2: Convert to fraction form
    6,523.02/9,782.28 = 4,343.22/x
  3. Step 3: Cross multiply
    6,523.02x = 9,782.28 × 4,343.22
  4. Step 4: Simplify right side
    6,523.02x = 42,486,594.14
  5. Step 5: Solve for x
    x = 42,486,594.14/6,523.02
  6. Step 6: Final answer
    x = 6,513.33

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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.