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Finding the Fourth Proportional to 9,774.91, 14,662.38 and 2,379.33

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Solution

The fourth proportional to 9,774.91, 14,662.38 and 2,379.33 is: 3,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.91 : 14,662.38 = 2,379.33 : x
  2. Step 2: Convert to fraction form
    9,774.91/14,662.38 = 2,379.33/x
  3. Step 3: Cross multiply
    9,774.91x = 14,662.38 × 2,379.33
  4. Step 4: Simplify right side
    9,774.91x = 34,886,640.61
  5. Step 5: Solve for x
    x = 34,886,640.61/9,774.91
  6. Step 6: Final answer
    x = 3,569.00

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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.