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Finding the Fourth Proportional to 10,019.35, 13,788.52 and 9,406.99

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Solution

The fourth proportional to 10,019.35, 13,788.52 and 9,406.99 is: 12,945.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.35 : 13,788.52 = 9,406.99 : x
  2. Step 2: Convert to fraction form
    10,019.35/13,788.52 = 9,406.99/x
  3. Step 3: Cross multiply
    10,019.35x = 13,788.52 × 9,406.99
  4. Step 4: Simplify right side
    10,019.35x = 129,708,469.75
  5. Step 5: Solve for x
    x = 129,708,469.75/10,019.35
  6. Step 6: Final answer
    x = 12,945.80

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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.