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Finding the Fourth Proportional to 9,722.94, 13,419.63 and 5,743.86

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Solution

The fourth proportional to 9,722.94, 13,419.63 and 5,743.86 is: 7,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.94 : 13,419.63 = 5,743.86 : x
  2. Step 2: Convert to fraction form
    9,722.94/13,419.63 = 5,743.86/x
  3. Step 3: Cross multiply
    9,722.94x = 13,419.63 × 5,743.86
  4. Step 4: Simplify right side
    9,722.94x = 77,080,475.97
  5. Step 5: Solve for x
    x = 77,080,475.97/9,722.94
  6. Step 6: Final answer
    x = 7,927.69

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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.