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Finding the Fourth Proportional to 9,534.90, 13,163.14 and 7,405.66

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Solution

The fourth proportional to 9,534.90, 13,163.14 and 7,405.66 is: 10,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.90 : 13,163.14 = 7,405.66 : x
  2. Step 2: Convert to fraction form
    9,534.90/13,163.14 = 7,405.66/x
  3. Step 3: Cross multiply
    9,534.90x = 13,163.14 × 7,405.66
  4. Step 4: Simplify right side
    9,534.90x = 97,481,739.37
  5. Step 5: Solve for x
    x = 97,481,739.37/9,534.90
  6. Step 6: Final answer
    x = 10,223.68

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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.