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Finding the Fourth Proportional to 9,563.40, 13,198.01 and 5,586.84

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Solution

The fourth proportional to 9,563.40, 13,198.01 and 5,586.84 is: 7,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.40 : 13,198.01 = 5,586.84 : x
  2. Step 2: Convert to fraction form
    9,563.40/13,198.01 = 5,586.84/x
  3. Step 3: Cross multiply
    9,563.40x = 13,198.01 × 5,586.84
  4. Step 4: Simplify right side
    9,563.40x = 73,735,142.25
  5. Step 5: Solve for x
    x = 73,735,142.25/9,563.40
  6. Step 6: Final answer
    x = 7,710.14

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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.