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Finding the Fourth Proportional to 9,948.14, 14,893.41 and 7,493.30

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Solution

The fourth proportional to 9,948.14, 14,893.41 and 7,493.30 is: 11,218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.14 : 14,893.41 = 7,493.30 : x
  2. Step 2: Convert to fraction form
    9,948.14/14,893.41 = 7,493.30/x
  3. Step 3: Cross multiply
    9,948.14x = 14,893.41 × 7,493.30
  4. Step 4: Simplify right side
    9,948.14x = 111,600,789.15
  5. Step 5: Solve for x
    x = 111,600,789.15/9,948.14
  6. Step 6: Final answer
    x = 11,218.26

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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.