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Finding the Fourth Proportional to 6,523.30, 9,784.84 and 4,520.14

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Solution

The fourth proportional to 6,523.30, 9,784.84 and 4,520.14 is: 6,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.30 : 9,784.84 = 4,520.14 : x
  2. Step 2: Convert to fraction form
    6,523.30/9,784.84 = 4,520.14/x
  3. Step 3: Cross multiply
    6,523.30x = 9,784.84 × 4,520.14
  4. Step 4: Simplify right side
    6,523.30x = 44,228,846.68
  5. Step 5: Solve for x
    x = 44,228,846.68/6,523.30
  6. Step 6: Final answer
    x = 6,780.13

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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.