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Finding the Fourth Proportional to 6,215.40, 9,357.12 and 5,671.08

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Solution

The fourth proportional to 6,215.40, 9,357.12 and 5,671.08 is: 8,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.40 : 9,357.12 = 5,671.08 : x
  2. Step 2: Convert to fraction form
    6,215.40/9,357.12 = 5,671.08/x
  3. Step 3: Cross multiply
    6,215.40x = 9,357.12 × 5,671.08
  4. Step 4: Simplify right side
    6,215.40x = 53,064,976.09
  5. Step 5: Solve for x
    x = 53,064,976.09/6,215.40
  6. Step 6: Final answer
    x = 8,537.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.