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Finding the Fourth Proportional to 9,673.41, 14,490.67 and 5,046.69

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Solution

The fourth proportional to 9,673.41, 14,490.67 and 5,046.69 is: 7,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.41 : 14,490.67 = 5,046.69 : x
  2. Step 2: Convert to fraction form
    9,673.41/14,490.67 = 5,046.69/x
  3. Step 3: Cross multiply
    9,673.41x = 14,490.67 × 5,046.69
  4. Step 4: Simplify right side
    9,673.41x = 73,129,919.38
  5. Step 5: Solve for x
    x = 73,129,919.38/9,673.41
  6. Step 6: Final answer
    x = 7,559.89

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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.