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Finding the Fourth Proportional to 9,720.86, 13,412.51 and 5,742.56

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Solution

The fourth proportional to 9,720.86, 13,412.51 and 5,742.56 is: 7,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.86 : 13,412.51 = 5,742.56 : x
  2. Step 2: Convert to fraction form
    9,720.86/13,412.51 = 5,742.56/x
  3. Step 3: Cross multiply
    9,720.86x = 13,412.51 × 5,742.56
  4. Step 4: Simplify right side
    9,720.86x = 77,022,148.24
  5. Step 5: Solve for x
    x = 77,022,148.24/9,720.86
  6. Step 6: Final answer
    x = 7,923.39

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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.