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Finding the Fourth Proportional to 38,403.13, 57,604.69 and 9,219.13

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Solution

The fourth proportional to 38,403.13, 57,604.69 and 9,219.13 is: 13,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,403.13 : 57,604.69 = 9,219.13 : x
  2. Step 2: Convert to fraction form
    38,403.13/57,604.69 = 9,219.13/x
  3. Step 3: Cross multiply
    38,403.13x = 57,604.69 × 9,219.13
  4. Step 4: Simplify right side
    38,403.13x = 531,065,125.72
  5. Step 5: Solve for x
    x = 531,065,125.72/38,403.13
  6. Step 6: Final answer
    x = 13,828.69

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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.