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Finding the Fourth Proportional to 9,666.98, 14,499.53 and 3,091.40

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Solution

The fourth proportional to 9,666.98, 14,499.53 and 3,091.40 is: 4,636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.98 : 14,499.53 = 3,091.40 : x
  2. Step 2: Convert to fraction form
    9,666.98/14,499.53 = 3,091.40/x
  3. Step 3: Cross multiply
    9,666.98x = 14,499.53 × 3,091.40
  4. Step 4: Simplify right side
    9,666.98x = 44,823,759.09
  5. Step 5: Solve for x
    x = 44,823,759.09/9,666.98
  6. Step 6: Final answer
    x = 4,636.79

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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.