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Finding the Fourth Proportional to 9,538.34, 13,163.01 and 5,346.50

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Solution

The fourth proportional to 9,538.34, 13,163.01 and 5,346.50 is: 7,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.34 : 13,163.01 = 5,346.50 : x
  2. Step 2: Convert to fraction form
    9,538.34/13,163.01 = 5,346.50/x
  3. Step 3: Cross multiply
    9,538.34x = 13,163.01 × 5,346.50
  4. Step 4: Simplify right side
    9,538.34x = 70,376,032.97
  5. Step 5: Solve for x
    x = 70,376,032.97/9,538.34
  6. Step 6: Final answer
    x = 7,378.23

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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.