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Finding the Fourth Proportional to 9,143.35, 13,718.63 and 3,879.50

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Solution

The fourth proportional to 9,143.35, 13,718.63 and 3,879.50 is: 5,820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.35 : 13,718.63 = 3,879.50 : x
  2. Step 2: Convert to fraction form
    9,143.35/13,718.63 = 3,879.50/x
  3. Step 3: Cross multiply
    9,143.35x = 13,718.63 × 3,879.50
  4. Step 4: Simplify right side
    9,143.35x = 53,221,366.19
  5. Step 5: Solve for x
    x = 53,221,366.19/9,143.35
  6. Step 6: Final answer
    x = 5,820.77

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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.