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Finding the Fourth Proportional to 9,652.50, 13,320.45 and 5,236.50

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Solution

The fourth proportional to 9,652.50, 13,320.45 and 5,236.50 is: 7,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.50 : 13,320.45 = 5,236.50 : x
  2. Step 2: Convert to fraction form
    9,652.50/13,320.45 = 5,236.50/x
  3. Step 3: Cross multiply
    9,652.50x = 13,320.45 × 5,236.50
  4. Step 4: Simplify right side
    9,652.50x = 69,752,536.43
  5. Step 5: Solve for x
    x = 69,752,536.43/9,652.50
  6. Step 6: Final answer
    x = 7,226.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.