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Finding the Fourth Proportional to 9,856.23, 14,771.51 and 4,006

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Solution

The fourth proportional to 9,856.23, 14,771.51 and 4,006 is: 6,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.23 : 14,771.51 = 4,006 : x
  2. Step 2: Convert to fraction form
    9,856.23/14,771.51 = 4,006/x
  3. Step 3: Cross multiply
    9,856.23x = 14,771.51 × 4,006
  4. Step 4: Simplify right side
    9,856.23x = 59,174,669.06
  5. Step 5: Solve for x
    x = 59,174,669.06/9,856.23
  6. Step 6: Final answer
    x = 6,003.78

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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.