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Finding the Fourth Proportional to 9,886.27, 13,642.90 and 5,410.21

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Solution

The fourth proportional to 9,886.27, 13,642.90 and 5,410.21 is: 7,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.27 : 13,642.90 = 5,410.21 : x
  2. Step 2: Convert to fraction form
    9,886.27/13,642.90 = 5,410.21/x
  3. Step 3: Cross multiply
    9,886.27x = 13,642.90 × 5,410.21
  4. Step 4: Simplify right side
    9,886.27x = 73,810,954.01
  5. Step 5: Solve for x
    x = 73,810,954.01/9,886.27
  6. Step 6: Final answer
    x = 7,466.01

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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.