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Finding the Fourth Proportional to 9,460.82, 13,059.96 and 5,923.28

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Solution

The fourth proportional to 9,460.82, 13,059.96 and 5,923.28 is: 8,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.82 : 13,059.96 = 5,923.28 : x
  2. Step 2: Convert to fraction form
    9,460.82/13,059.96 = 5,923.28/x
  3. Step 3: Cross multiply
    9,460.82x = 13,059.96 × 5,923.28
  4. Step 4: Simplify right side
    9,460.82x = 77,357,799.87
  5. Step 5: Solve for x
    x = 77,357,799.87/9,460.82
  6. Step 6: Final answer
    x = 8,176.65

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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.