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Finding the Fourth Proportional to 9,463.69, 13,059.69 and 5,928.85

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Solution

The fourth proportional to 9,463.69, 13,059.69 and 5,928.85 is: 8,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.69 : 13,059.69 = 5,928.85 : x
  2. Step 2: Convert to fraction form
    9,463.69/13,059.69 = 5,928.85/x
  3. Step 3: Cross multiply
    9,463.69x = 13,059.69 × 5,928.85
  4. Step 4: Simplify right side
    9,463.69x = 77,428,943.06
  5. Step 5: Solve for x
    x = 77,428,943.06/9,463.69
  6. Step 6: Final answer
    x = 8,181.69

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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.