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Finding the Fourth Proportional to 9,147.01, 13,720.21 and 3,878.64

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Solution

The fourth proportional to 9,147.01, 13,720.21 and 3,878.64 is: 5,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.01 : 13,720.21 = 3,878.64 : x
  2. Step 2: Convert to fraction form
    9,147.01/13,720.21 = 3,878.64/x
  3. Step 3: Cross multiply
    9,147.01x = 13,720.21 × 3,878.64
  4. Step 4: Simplify right side
    9,147.01x = 53,215,686.71
  5. Step 5: Solve for x
    x = 53,215,686.71/9,147.01
  6. Step 6: Final answer
    x = 5,817.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.