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Finding the Fourth Proportional to 6,065.69, 9,098.93 and 3,463.16

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Solution

The fourth proportional to 6,065.69, 9,098.93 and 3,463.16 is: 5,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.69 : 9,098.93 = 3,463.16 : x
  2. Step 2: Convert to fraction form
    6,065.69/9,098.93 = 3,463.16/x
  3. Step 3: Cross multiply
    6,065.69x = 9,098.93 × 3,463.16
  4. Step 4: Simplify right side
    6,065.69x = 31,511,013.58
  5. Step 5: Solve for x
    x = 31,511,013.58/6,065.69
  6. Step 6: Final answer
    x = 5,194.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.