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Finding the Fourth Proportional to 7,031.98, 9,706.06 and 4,377.81

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Solution

The fourth proportional to 7,031.98, 9,706.06 and 4,377.81 is: 6,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.98 : 9,706.06 = 4,377.81 : x
  2. Step 2: Convert to fraction form
    7,031.98/9,706.06 = 4,377.81/x
  3. Step 3: Cross multiply
    7,031.98x = 9,706.06 × 4,377.81
  4. Step 4: Simplify right side
    7,031.98x = 42,491,286.53
  5. Step 5: Solve for x
    x = 42,491,286.53/7,031.98
  6. Step 6: Final answer
    x = 6,042.58

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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.