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Finding the Fourth Proportional to 9,194.46, 12,688.38 and 5,002.71

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Solution

The fourth proportional to 9,194.46, 12,688.38 and 5,002.71 is: 6,903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.46 : 12,688.38 = 5,002.71 : x
  2. Step 2: Convert to fraction form
    9,194.46/12,688.38 = 5,002.71/x
  3. Step 3: Cross multiply
    9,194.46x = 12,688.38 × 5,002.71
  4. Step 4: Simplify right side
    9,194.46x = 63,476,285.51
  5. Step 5: Solve for x
    x = 63,476,285.51/9,194.46
  6. Step 6: Final answer
    x = 6,903.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.