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Finding the Fourth Proportional to 6,971.71, 9,618.59 and 3,985.43

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Solution

The fourth proportional to 6,971.71, 9,618.59 and 3,985.43 is: 5,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.71 : 9,618.59 = 3,985.43 : x
  2. Step 2: Convert to fraction form
    6,971.71/9,618.59 = 3,985.43/x
  3. Step 3: Cross multiply
    6,971.71x = 9,618.59 × 3,985.43
  4. Step 4: Simplify right side
    6,971.71x = 38,334,217.14
  5. Step 5: Solve for x
    x = 38,334,217.14/6,971.71
  6. Step 6: Final answer
    x = 5,498.54

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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.