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Finding the Fourth Proportional to 9,433.69, 14,143.76 and 4,433.24

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Solution

The fourth proportional to 9,433.69, 14,143.76 and 4,433.24 is: 6,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.69 : 14,143.76 = 4,433.24 : x
  2. Step 2: Convert to fraction form
    9,433.69/14,143.76 = 4,433.24/x
  3. Step 3: Cross multiply
    9,433.69x = 14,143.76 × 4,433.24
  4. Step 4: Simplify right side
    9,433.69x = 62,702,660.42
  5. Step 5: Solve for x
    x = 62,702,660.42/9,433.69
  6. Step 6: Final answer
    x = 6,646.68

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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.