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Finding the Fourth Proportional to 9,693.92, 14,543.09 and 3,454.59

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Solution

The fourth proportional to 9,693.92, 14,543.09 and 3,454.59 is: 5,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.92 : 14,543.09 = 3,454.59 : x
  2. Step 2: Convert to fraction form
    9,693.92/14,543.09 = 3,454.59/x
  3. Step 3: Cross multiply
    9,693.92x = 14,543.09 × 3,454.59
  4. Step 4: Simplify right side
    9,693.92x = 50,240,413.28
  5. Step 5: Solve for x
    x = 50,240,413.28/9,693.92
  6. Step 6: Final answer
    x = 5,182.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.