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Finding the Fourth Proportional to 9,848.69, 14,773.96 and 3,924.14

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Solution

The fourth proportional to 9,848.69, 14,773.96 and 3,924.14 is: 5,886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.69 : 14,773.96 = 3,924.14 : x
  2. Step 2: Convert to fraction form
    9,848.69/14,773.96 = 3,924.14/x
  3. Step 3: Cross multiply
    9,848.69x = 14,773.96 × 3,924.14
  4. Step 4: Simplify right side
    9,848.69x = 57,975,067.77
  5. Step 5: Solve for x
    x = 57,975,067.77/9,848.69
  6. Step 6: Final answer
    x = 5,886.58

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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.