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Finding the Fourth Proportional to 9,758.50, 14,639.60 and 3,915.57

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Solution

The fourth proportional to 9,758.50, 14,639.60 and 3,915.57 is: 5,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.50 : 14,639.60 = 3,915.57 : x
  2. Step 2: Convert to fraction form
    9,758.50/14,639.60 = 3,915.57/x
  3. Step 3: Cross multiply
    9,758.50x = 14,639.60 × 3,915.57
  4. Step 4: Simplify right side
    9,758.50x = 57,322,378.57
  5. Step 5: Solve for x
    x = 57,322,378.57/9,758.50
  6. Step 6: Final answer
    x = 5,874.10

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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.