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Finding the Fourth Proportional to 9,542.82, 14,311.80 and 6,421.08

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Solution

The fourth proportional to 9,542.82, 14,311.80 and 6,421.08 is: 9,629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.82 : 14,311.80 = 6,421.08 : x
  2. Step 2: Convert to fraction form
    9,542.82/14,311.80 = 6,421.08/x
  3. Step 3: Cross multiply
    9,542.82x = 14,311.80 × 6,421.08
  4. Step 4: Simplify right side
    9,542.82x = 91,897,212.74
  5. Step 5: Solve for x
    x = 91,897,212.74/9,542.82
  6. Step 6: Final answer
    x = 9,629.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.