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Finding the Fourth Proportional to 9,606.47, 13,257.01 and 5,357.80

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Solution

The fourth proportional to 9,606.47, 13,257.01 and 5,357.80 is: 7,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.47 : 13,257.01 = 5,357.80 : x
  2. Step 2: Convert to fraction form
    9,606.47/13,257.01 = 5,357.80/x
  3. Step 3: Cross multiply
    9,606.47x = 13,257.01 × 5,357.80
  4. Step 4: Simplify right side
    9,606.47x = 71,028,453.66
  5. Step 5: Solve for x
    x = 71,028,453.66/9,606.47
  6. Step 6: Final answer
    x = 7,393.81

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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.