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Finding the Fourth Proportional to 6,971.91, 9,620.94 and 3,828.16

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Solution

The fourth proportional to 6,971.91, 9,620.94 and 3,828.16 is: 5,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.91 : 9,620.94 = 3,828.16 : x
  2. Step 2: Convert to fraction form
    6,971.91/9,620.94 = 3,828.16/x
  3. Step 3: Cross multiply
    6,971.91x = 9,620.94 × 3,828.16
  4. Step 4: Simplify right side
    6,971.91x = 36,830,497.67
  5. Step 5: Solve for x
    x = 36,830,497.67/6,971.91
  6. Step 6: Final answer
    x = 5,282.70

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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.