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Finding the Fourth Proportional to 9,758.84, 14,640.28 and 3,915.90

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Solution

The fourth proportional to 9,758.84, 14,640.28 and 3,915.90 is: 5,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.84 : 14,640.28 = 3,915.90 : x
  2. Step 2: Convert to fraction form
    9,758.84/14,640.28 = 3,915.90/x
  3. Step 3: Cross multiply
    9,758.84x = 14,640.28 × 3,915.90
  4. Step 4: Simplify right side
    9,758.84x = 57,329,862.66
  5. Step 5: Solve for x
    x = 57,329,862.66/9,758.84
  6. Step 6: Final answer
    x = 5,874.66

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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.