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Finding the Fourth Proportional to 9,758.35, 14,639.55 and 3,915.42

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Solution

The fourth proportional to 9,758.35, 14,639.55 and 3,915.42 is: 5,873.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.35 : 14,639.55 = 3,915.42 : x
  2. Step 2: Convert to fraction form
    9,758.35/14,639.55 = 3,915.42/x
  3. Step 3: Cross multiply
    9,758.35x = 14,639.55 × 3,915.42
  4. Step 4: Simplify right side
    9,758.35x = 57,319,939.30
  5. Step 5: Solve for x
    x = 57,319,939.30/9,758.35
  6. Step 6: Final answer
    x = 5,873.94

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