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Finding the Fourth Proportional to 9,948.50, 14,911.82 and 4,101.92

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Solution

The fourth proportional to 9,948.50, 14,911.82 and 4,101.92 is: 6,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.50 : 14,911.82 = 4,101.92 : x
  2. Step 2: Convert to fraction form
    9,948.50/14,911.82 = 4,101.92/x
  3. Step 3: Cross multiply
    9,948.50x = 14,911.82 × 4,101.92
  4. Step 4: Simplify right side
    9,948.50x = 61,167,092.69
  5. Step 5: Solve for x
    x = 61,167,092.69/9,948.50
  6. Step 6: Final answer
    x = 6,148.37

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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.