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Finding the Fourth Proportional to 6,523.29, 9,784.98 and 4,584.15

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Solution

The fourth proportional to 6,523.29, 9,784.98 and 4,584.15 is: 6,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.29 : 9,784.98 = 4,584.15 : x
  2. Step 2: Convert to fraction form
    6,523.29/9,784.98 = 4,584.15/x
  3. Step 3: Cross multiply
    6,523.29x = 9,784.98 × 4,584.15
  4. Step 4: Simplify right side
    6,523.29x = 44,855,816.07
  5. Step 5: Solve for x
    x = 44,855,816.07/6,523.29
  6. Step 6: Final answer
    x = 6,876.26

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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.