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Finding the Fourth Proportional to 9,433.49, 13,019.34 and 5,658.73

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Solution

The fourth proportional to 9,433.49, 13,019.34 and 5,658.73 is: 7,809.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.49 : 13,019.34 = 5,658.73 : x
  2. Step 2: Convert to fraction form
    9,433.49/13,019.34 = 5,658.73/x
  3. Step 3: Cross multiply
    9,433.49x = 13,019.34 × 5,658.73
  4. Step 4: Simplify right side
    9,433.49x = 73,672,897.29
  5. Step 5: Solve for x
    x = 73,672,897.29/9,433.49
  6. Step 6: Final answer
    x = 7,809.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.