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Finding the Fourth Proportional to 9,414.26, 14,126.03 and 6,658.64

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Solution

The fourth proportional to 9,414.26, 14,126.03 and 6,658.64 is: 9,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.26 : 14,126.03 = 6,658.64 : x
  2. Step 2: Convert to fraction form
    9,414.26/14,126.03 = 6,658.64/x
  3. Step 3: Cross multiply
    9,414.26x = 14,126.03 × 6,658.64
  4. Step 4: Simplify right side
    9,414.26x = 94,060,148.40
  5. Step 5: Solve for x
    x = 94,060,148.40/9,414.26
  6. Step 6: Final answer
    x = 9,991.24

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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.