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Finding the Fourth Proportional to 6,972.47, 9,623.13 and 5,381.43

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Solution

The fourth proportional to 6,972.47, 9,623.13 and 5,381.43 is: 7,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.47 : 9,623.13 = 5,381.43 : x
  2. Step 2: Convert to fraction form
    6,972.47/9,623.13 = 5,381.43/x
  3. Step 3: Cross multiply
    6,972.47x = 9,623.13 × 5,381.43
  4. Step 4: Simplify right side
    6,972.47x = 51,786,200.48
  5. Step 5: Solve for x
    x = 51,786,200.48/6,972.47
  6. Step 6: Final answer
    x = 7,427.24

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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.