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Finding the Fourth Proportional to 6,988.26, 9,638.62 and 5,071.34

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Solution

The fourth proportional to 6,988.26, 9,638.62 and 5,071.34 is: 6,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.26 : 9,638.62 = 5,071.34 : x
  2. Step 2: Convert to fraction form
    6,988.26/9,638.62 = 5,071.34/x
  3. Step 3: Cross multiply
    6,988.26x = 9,638.62 × 5,071.34
  4. Step 4: Simplify right side
    6,988.26x = 48,880,730.57
  5. Step 5: Solve for x
    x = 48,880,730.57/6,988.26
  6. Step 6: Final answer
    x = 6,994.69

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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.