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Finding the Fourth Proportional to 6,942, 9,580.14 and 4,108.08

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Solution

The fourth proportional to 6,942, 9,580.14 and 4,108.08 is: 5,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942 : 9,580.14 = 4,108.08 : x
  2. Step 2: Convert to fraction form
    6,942/9,580.14 = 4,108.08/x
  3. Step 3: Cross multiply
    6,942x = 9,580.14 × 4,108.08
  4. Step 4: Simplify right side
    6,942x = 39,355,981.53
  5. Step 5: Solve for x
    x = 39,355,981.53/6,942
  6. Step 6: Final answer
    x = 5,669.26

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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.