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Finding the Fourth Proportional to 9,990.42, 13,784.02 and 5,741.26

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Solution

The fourth proportional to 9,990.42, 13,784.02 and 5,741.26 is: 7,921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990.42 : 13,784.02 = 5,741.26 : x
  2. Step 2: Convert to fraction form
    9,990.42/13,784.02 = 5,741.26/x
  3. Step 3: Cross multiply
    9,990.42x = 13,784.02 × 5,741.26
  4. Step 4: Simplify right side
    9,990.42x = 79,137,593.85
  5. Step 5: Solve for x
    x = 79,137,593.85/9,990.42
  6. Step 6: Final answer
    x = 7,921.35

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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.