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Finding the Fourth Proportional to 7,211.32, 9,945.86 and 4,972.68

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Solution

The fourth proportional to 7,211.32, 9,945.86 and 4,972.68 is: 6,858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.32 : 9,945.86 = 4,972.68 : x
  2. Step 2: Convert to fraction form
    7,211.32/9,945.86 = 4,972.68/x
  3. Step 3: Cross multiply
    7,211.32x = 9,945.86 × 4,972.68
  4. Step 4: Simplify right side
    7,211.32x = 49,457,579.10
  5. Step 5: Solve for x
    x = 49,457,579.10/7,211.32
  6. Step 6: Final answer
    x = 6,858.33

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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.