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Finding the Fourth Proportional to 9,919.73, 14,866.51 and 4,653.92

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Solution

The fourth proportional to 9,919.73, 14,866.51 and 4,653.92 is: 6,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.73 : 14,866.51 = 4,653.92 : x
  2. Step 2: Convert to fraction form
    9,919.73/14,866.51 = 4,653.92/x
  3. Step 3: Cross multiply
    9,919.73x = 14,866.51 × 4,653.92
  4. Step 4: Simplify right side
    9,919.73x = 69,187,548.22
  5. Step 5: Solve for x
    x = 69,187,548.22/9,919.73
  6. Step 6: Final answer
    x = 6,974.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.