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Finding the Fourth Proportional to 6,580.40, 9,861.60 and 4,233.20

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Solution

The fourth proportional to 6,580.40, 9,861.60 and 4,233.20 is: 6,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.40 : 9,861.60 = 4,233.20 : x
  2. Step 2: Convert to fraction form
    6,580.40/9,861.60 = 4,233.20/x
  3. Step 3: Cross multiply
    6,580.40x = 9,861.60 × 4,233.20
  4. Step 4: Simplify right side
    6,580.40x = 41,746,125.12
  5. Step 5: Solve for x
    x = 41,746,125.12/6,580.40
  6. Step 6: Final answer
    x = 6,344.01

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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.