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Finding the Fourth Proportional to 9,926.98, 13,700.32 and 5,678.43

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Solution

The fourth proportional to 9,926.98, 13,700.32 and 5,678.43 is: 7,836.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.98 : 13,700.32 = 5,678.43 : x
  2. Step 2: Convert to fraction form
    9,926.98/13,700.32 = 5,678.43/x
  3. Step 3: Cross multiply
    9,926.98x = 13,700.32 × 5,678.43
  4. Step 4: Simplify right side
    9,926.98x = 77,796,308.10
  5. Step 5: Solve for x
    x = 77,796,308.10/9,926.98
  6. Step 6: Final answer
    x = 7,836.86

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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.