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Finding the Fourth Proportional to 9,720.26, 13,410.82 and 5,742.74

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Solution

The fourth proportional to 9,720.26, 13,410.82 and 5,742.74 is: 7,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.26 : 13,410.82 = 5,742.74 : x
  2. Step 2: Convert to fraction form
    9,720.26/13,410.82 = 5,742.74/x
  3. Step 3: Cross multiply
    9,720.26x = 13,410.82 × 5,742.74
  4. Step 4: Simplify right side
    9,720.26x = 77,014,771.04
  5. Step 5: Solve for x
    x = 77,014,771.04/9,720.26
  6. Step 6: Final answer
    x = 7,923.12

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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.