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Finding the Fourth Proportional to 9,702, 14,553.14 and 2,776.50

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Solution

The fourth proportional to 9,702, 14,553.14 and 2,776.50 is: 4,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702 : 14,553.14 = 2,776.50 : x
  2. Step 2: Convert to fraction form
    9,702/14,553.14 = 2,776.50/x
  3. Step 3: Cross multiply
    9,702x = 14,553.14 × 2,776.50
  4. Step 4: Simplify right side
    9,702x = 40,406,779.33
  5. Step 5: Solve for x
    x = 40,406,779.33/9,702
  6. Step 6: Final answer
    x = 4,164.79

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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.