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Finding the Fourth Proportional to 8,470.96, 11,688.84 and 4,934.68

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Solution

The fourth proportional to 8,470.96, 11,688.84 and 4,934.68 is: 6,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.96 : 11,688.84 = 4,934.68 : x
  2. Step 2: Convert to fraction form
    8,470.96/11,688.84 = 4,934.68/x
  3. Step 3: Cross multiply
    8,470.96x = 11,688.84 × 4,934.68
  4. Step 4: Simplify right side
    8,470.96x = 57,680,684.97
  5. Step 5: Solve for x
    x = 57,680,684.97/8,470.96
  6. Step 6: Final answer
    x = 6,809.23

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