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Finding the Fourth Proportional to 7,947.30, 10,972.62 and 7,105.32

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Solution

The fourth proportional to 7,947.30, 10,972.62 and 7,105.32 is: 9,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947.30 : 10,972.62 = 7,105.32 : x
  2. Step 2: Convert to fraction form
    7,947.30/10,972.62 = 7,105.32/x
  3. Step 3: Cross multiply
    7,947.30x = 10,972.62 × 7,105.32
  4. Step 4: Simplify right side
    7,947.30x = 77,963,976.34
  5. Step 5: Solve for x
    x = 77,963,976.34/7,947.30
  6. Step 6: Final answer
    x = 9,810.12

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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.