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Finding the Fourth Proportional to 6,522.84, 9,784.76 and 3,232.62

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Solution

The fourth proportional to 6,522.84, 9,784.76 and 3,232.62 is: 4,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.84 : 9,784.76 = 3,232.62 : x
  2. Step 2: Convert to fraction form
    6,522.84/9,784.76 = 3,232.62/x
  3. Step 3: Cross multiply
    6,522.84x = 9,784.76 × 3,232.62
  4. Step 4: Simplify right side
    6,522.84x = 31,630,394.71
  5. Step 5: Solve for x
    x = 31,630,394.71/6,522.84
  6. Step 6: Final answer
    x = 4,849.18

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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.