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Finding the Fourth Proportional to 9,467.34, 13,069.04 and 5,932.60

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Solution

The fourth proportional to 9,467.34, 13,069.04 and 5,932.60 is: 8,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.34 : 13,069.04 = 5,932.60 : x
  2. Step 2: Convert to fraction form
    9,467.34/13,069.04 = 5,932.60/x
  3. Step 3: Cross multiply
    9,467.34x = 13,069.04 × 5,932.60
  4. Step 4: Simplify right side
    9,467.34x = 77,533,386.70
  5. Step 5: Solve for x
    x = 77,533,386.70/9,467.34
  6. Step 6: Final answer
    x = 8,189.56

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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.