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Finding the Fourth Proportional to 9,926.86, 13,694.70 and 6,149.02

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Solution

The fourth proportional to 9,926.86, 13,694.70 and 6,149.02 is: 8,482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.86 : 13,694.70 = 6,149.02 : x
  2. Step 2: Convert to fraction form
    9,926.86/13,694.70 = 6,149.02/x
  3. Step 3: Cross multiply
    9,926.86x = 13,694.70 × 6,149.02
  4. Step 4: Simplify right side
    9,926.86x = 84,208,984.19
  5. Step 5: Solve for x
    x = 84,208,984.19/9,926.86
  6. Step 6: Final answer
    x = 8,482.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.