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Finding the Fourth Proportional to 9,871.77, 13,623.28 and 5,395.71

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Solution

The fourth proportional to 9,871.77, 13,623.28 and 5,395.71 is: 7,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.77 : 13,623.28 = 5,395.71 : x
  2. Step 2: Convert to fraction form
    9,871.77/13,623.28 = 5,395.71/x
  3. Step 3: Cross multiply
    9,871.77x = 13,623.28 × 5,395.71
  4. Step 4: Simplify right side
    9,871.77x = 73,507,254.64
  5. Step 5: Solve for x
    x = 73,507,254.64/9,871.77
  6. Step 6: Final answer
    x = 7,446.21

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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.