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Finding the Fourth Proportional to 6,348.90, 9,523.35 and 3,396.45

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Solution

The fourth proportional to 6,348.90, 9,523.35 and 3,396.45 is: 5,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.90 : 9,523.35 = 3,396.45 : x
  2. Step 2: Convert to fraction form
    6,348.90/9,523.35 = 3,396.45/x
  3. Step 3: Cross multiply
    6,348.90x = 9,523.35 × 3,396.45
  4. Step 4: Simplify right side
    6,348.90x = 32,345,582.11
  5. Step 5: Solve for x
    x = 32,345,582.11/6,348.90
  6. Step 6: Final answer
    x = 5,094.68

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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.