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Finding the Fourth Proportional to 6,325.50, 9,492.57 and 2,221.50

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Solution

The fourth proportional to 6,325.50, 9,492.57 and 2,221.50 is: 3,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.50 : 9,492.57 = 2,221.50 : x
  2. Step 2: Convert to fraction form
    6,325.50/9,492.57 = 2,221.50/x
  3. Step 3: Cross multiply
    6,325.50x = 9,492.57 × 2,221.50
  4. Step 4: Simplify right side
    6,325.50x = 21,087,744.26
  5. Step 5: Solve for x
    x = 21,087,744.26/6,325.50
  6. Step 6: Final answer
    x = 3,333.77

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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.