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Finding the Fourth Proportional to 9,754.74, 14,634.85 and 3,915.45

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Solution

The fourth proportional to 9,754.74, 14,634.85 and 3,915.45 is: 5,874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.74 : 14,634.85 = 3,915.45 : x
  2. Step 2: Convert to fraction form
    9,754.74/14,634.85 = 3,915.45/x
  3. Step 3: Cross multiply
    9,754.74x = 14,634.85 × 3,915.45
  4. Step 4: Simplify right side
    9,754.74x = 57,302,050.23
  5. Step 5: Solve for x
    x = 57,302,050.23/9,754.74
  6. Step 6: Final answer
    x = 5,874.28

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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.