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Finding the Fourth Proportional to 6,389.85, 9,580.44 and 3,267.30

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Solution

The fourth proportional to 6,389.85, 9,580.44 and 3,267.30 is: 4,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.85 : 9,580.44 = 3,267.30 : x
  2. Step 2: Convert to fraction form
    6,389.85/9,580.44 = 3,267.30/x
  3. Step 3: Cross multiply
    6,389.85x = 9,580.44 × 3,267.30
  4. Step 4: Simplify right side
    6,389.85x = 31,302,219.79
  5. Step 5: Solve for x
    x = 31,302,219.79/6,389.85
  6. Step 6: Final answer
    x = 4,898.74

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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.