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Finding the Fourth Proportional to 6,215.40, 9,316.34 and 3,097.71

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Solution

The fourth proportional to 6,215.40, 9,316.34 and 3,097.71 is: 4,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.40 : 9,316.34 = 3,097.71 : x
  2. Step 2: Convert to fraction form
    6,215.40/9,316.34 = 3,097.71/x
  3. Step 3: Cross multiply
    6,215.40x = 9,316.34 × 3,097.71
  4. Step 4: Simplify right side
    6,215.40x = 28,859,304.09
  5. Step 5: Solve for x
    x = 28,859,304.09/6,215.40
  6. Step 6: Final answer
    x = 4,643.19

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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.