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Finding the Fourth Proportional to 9,297.84, 13,938.12 and 6,377.52

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Solution

The fourth proportional to 9,297.84, 13,938.12 and 6,377.52 is: 9,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.84 : 13,938.12 = 6,377.52 : x
  2. Step 2: Convert to fraction form
    9,297.84/13,938.12 = 6,377.52/x
  3. Step 3: Cross multiply
    9,297.84x = 13,938.12 × 6,377.52
  4. Step 4: Simplify right side
    9,297.84x = 88,890,639.06
  5. Step 5: Solve for x
    x = 88,890,639.06/9,297.84
  6. Step 6: Final answer
    x = 9,560.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.