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Finding the Fourth Proportional to 9,986.34, 13,780.64 and 5,734.44

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Solution

The fourth proportional to 9,986.34, 13,780.64 and 5,734.44 is: 7,913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.34 : 13,780.64 = 5,734.44 : x
  2. Step 2: Convert to fraction form
    9,986.34/13,780.64 = 5,734.44/x
  3. Step 3: Cross multiply
    9,986.34x = 13,780.64 × 5,734.44
  4. Step 4: Simplify right side
    9,986.34x = 79,024,253.24
  5. Step 5: Solve for x
    x = 79,024,253.24/9,986.34
  6. Step 6: Final answer
    x = 7,913.23

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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.