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Finding the Fourth Proportional to 9,447.84, 14,172.12 and 2,522.34

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Solution

The fourth proportional to 9,447.84, 14,172.12 and 2,522.34 is: 3,783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.84 : 14,172.12 = 2,522.34 : x
  2. Step 2: Convert to fraction form
    9,447.84/14,172.12 = 2,522.34/x
  3. Step 3: Cross multiply
    9,447.84x = 14,172.12 × 2,522.34
  4. Step 4: Simplify right side
    9,447.84x = 35,746,905.16
  5. Step 5: Solve for x
    x = 35,746,905.16/9,447.84
  6. Step 6: Final answer
    x = 3,783.61

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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.