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Finding the Fourth Proportional to 6,737.29, 9,293.01 and 4,215.02

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Solution

The fourth proportional to 6,737.29, 9,293.01 and 4,215.02 is: 5,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.29 : 9,293.01 = 4,215.02 : x
  2. Step 2: Convert to fraction form
    6,737.29/9,293.01 = 4,215.02/x
  3. Step 3: Cross multiply
    6,737.29x = 9,293.01 × 4,215.02
  4. Step 4: Simplify right side
    6,737.29x = 39,170,223.01
  5. Step 5: Solve for x
    x = 39,170,223.01/6,737.29
  6. Step 6: Final answer
    x = 5,813.94

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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.