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Finding the Fourth Proportional to 9,185.69, 13,780.37 and 3,341.54

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Solution

The fourth proportional to 9,185.69, 13,780.37 and 3,341.54 is: 5,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.69 : 13,780.37 = 3,341.54 : x
  2. Step 2: Convert to fraction form
    9,185.69/13,780.37 = 3,341.54/x
  3. Step 3: Cross multiply
    9,185.69x = 13,780.37 × 3,341.54
  4. Step 4: Simplify right side
    9,185.69x = 46,047,640.86
  5. Step 5: Solve for x
    x = 46,047,640.86/9,185.69
  6. Step 6: Final answer
    x = 5,012.98

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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.