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Finding the Fourth Proportional to 9,743.65, 13,447.98 and 5,496.01

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Solution

The fourth proportional to 9,743.65, 13,447.98 and 5,496.01 is: 7,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.65 : 13,447.98 = 5,496.01 : x
  2. Step 2: Convert to fraction form
    9,743.65/13,447.98 = 5,496.01/x
  3. Step 3: Cross multiply
    9,743.65x = 13,447.98 × 5,496.01
  4. Step 4: Simplify right side
    9,743.65x = 73,910,232.56
  5. Step 5: Solve for x
    x = 73,910,232.56/9,743.65
  6. Step 6: Final answer
    x = 7,585.48

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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.