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Finding the Fourth Proportional to 9,874.95, 14,812.43 and 3,954.50

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Solution

The fourth proportional to 9,874.95, 14,812.43 and 3,954.50 is: 5,931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.95 : 14,812.43 = 3,954.50 : x
  2. Step 2: Convert to fraction form
    9,874.95/14,812.43 = 3,954.50/x
  3. Step 3: Cross multiply
    9,874.95x = 14,812.43 × 3,954.50
  4. Step 4: Simplify right side
    9,874.95x = 58,575,754.44
  5. Step 5: Solve for x
    x = 58,575,754.44/9,874.95
  6. Step 6: Final answer
    x = 5,931.76

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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.