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Finding the Fourth Proportional to 9,884.98, 13,634.85 and 6,342.58

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Solution

The fourth proportional to 9,884.98, 13,634.85 and 6,342.58 is: 8,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.98 : 13,634.85 = 6,342.58 : x
  2. Step 2: Convert to fraction form
    9,884.98/13,634.85 = 6,342.58/x
  3. Step 3: Cross multiply
    9,884.98x = 13,634.85 × 6,342.58
  4. Step 4: Simplify right side
    9,884.98x = 86,480,126.91
  5. Step 5: Solve for x
    x = 86,480,126.91/9,884.98
  6. Step 6: Final answer
    x = 8,748.64

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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.