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Finding the Fourth Proportional to 6,938.62, 9,572.42 and 5,046.06

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Solution

The fourth proportional to 6,938.62, 9,572.42 and 5,046.06 is: 6,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.62 : 9,572.42 = 5,046.06 : x
  2. Step 2: Convert to fraction form
    6,938.62/9,572.42 = 5,046.06/x
  3. Step 3: Cross multiply
    6,938.62x = 9,572.42 × 5,046.06
  4. Step 4: Simplify right side
    6,938.62x = 48,303,005.67
  5. Step 5: Solve for x
    x = 48,303,005.67/6,938.62
  6. Step 6: Final answer
    x = 6,961.47

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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.