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Finding the Fourth Proportional to 6,863.16, 9,470.80 and 4,210.12

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Solution

The fourth proportional to 6,863.16, 9,470.80 and 4,210.12 is: 5,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.16 : 9,470.80 = 4,210.12 : x
  2. Step 2: Convert to fraction form
    6,863.16/9,470.80 = 4,210.12/x
  3. Step 3: Cross multiply
    6,863.16x = 9,470.80 × 4,210.12
  4. Step 4: Simplify right side
    6,863.16x = 39,873,204.50
  5. Step 5: Solve for x
    x = 39,873,204.50/6,863.16
  6. Step 6: Final answer
    x = 5,809.74

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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.