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Finding the Fourth Proportional to 6,971.34, 9,607.15 and 6,843.24

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Solution

The fourth proportional to 6,971.34, 9,607.15 and 6,843.24 is: 9,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.34 : 9,607.15 = 6,843.24 : x
  2. Step 2: Convert to fraction form
    6,971.34/9,607.15 = 6,843.24/x
  3. Step 3: Cross multiply
    6,971.34x = 9,607.15 × 6,843.24
  4. Step 4: Simplify right side
    6,971.34x = 65,744,033.17
  5. Step 5: Solve for x
    x = 65,744,033.17/6,971.34
  6. Step 6: Final answer
    x = 9,430.62

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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.