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Finding the Fourth Proportional to 9,425.62, 14,138.73 and 4,743.07

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Solution

The fourth proportional to 9,425.62, 14,138.73 and 4,743.07 is: 7,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.62 : 14,138.73 = 4,743.07 : x
  2. Step 2: Convert to fraction form
    9,425.62/14,138.73 = 4,743.07/x
  3. Step 3: Cross multiply
    9,425.62x = 14,138.73 × 4,743.07
  4. Step 4: Simplify right side
    9,425.62x = 67,060,986.10
  5. Step 5: Solve for x
    x = 67,060,986.10/9,425.62
  6. Step 6: Final answer
    x = 7,114.76

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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.