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Finding the Fourth Proportional to 9,871.62, 13,623.02 and 5,395.24

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Solution

The fourth proportional to 9,871.62, 13,623.02 and 5,395.24 is: 7,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.62 : 13,623.02 = 5,395.24 : x
  2. Step 2: Convert to fraction form
    9,871.62/13,623.02 = 5,395.24/x
  3. Step 3: Cross multiply
    9,871.62x = 13,623.02 × 5,395.24
  4. Step 4: Simplify right side
    9,871.62x = 73,499,462.42
  5. Step 5: Solve for x
    x = 73,499,462.42/9,871.62
  6. Step 6: Final answer
    x = 7,445.53

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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.