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Finding the Fourth Proportional to 6,522.70, 9,784.05 and 6,393.10

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Solution

The fourth proportional to 6,522.70, 9,784.05 and 6,393.10 is: 9,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.70 : 9,784.05 = 6,393.10 : x
  2. Step 2: Convert to fraction form
    6,522.70/9,784.05 = 6,393.10/x
  3. Step 3: Cross multiply
    6,522.70x = 9,784.05 × 6,393.10
  4. Step 4: Simplify right side
    6,522.70x = 62,550,410.06
  5. Step 5: Solve for x
    x = 62,550,410.06/6,522.70
  6. Step 6: Final answer
    x = 9,589.65

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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.