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Finding the Fourth Proportional to 9,822.50, 13,551.63 and 5,573.06

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Solution

The fourth proportional to 9,822.50, 13,551.63 and 5,573.06 is: 7,688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.50 : 13,551.63 = 5,573.06 : x
  2. Step 2: Convert to fraction form
    9,822.50/13,551.63 = 5,573.06/x
  3. Step 3: Cross multiply
    9,822.50x = 13,551.63 × 5,573.06
  4. Step 4: Simplify right side
    9,822.50x = 75,524,047.09
  5. Step 5: Solve for x
    x = 75,524,047.09/9,822.50
  6. Step 6: Final answer
    x = 7,688.88

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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.