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Finding the Fourth Proportional to 9,392.14, 14,082.94 and 6,433.93

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Solution

The fourth proportional to 9,392.14, 14,082.94 and 6,433.93 is: 9,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.14 : 14,082.94 = 6,433.93 : x
  2. Step 2: Convert to fraction form
    9,392.14/14,082.94 = 6,433.93/x
  3. Step 3: Cross multiply
    9,392.14x = 14,082.94 × 6,433.93
  4. Step 4: Simplify right side
    9,392.14x = 90,608,579.74
  5. Step 5: Solve for x
    x = 90,608,579.74/9,392.14
  6. Step 6: Final answer
    x = 9,647.28

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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.