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Finding the Fourth Proportional to 9,894.10, 14,845.05 and 7,274.77

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Solution

The fourth proportional to 9,894.10, 14,845.05 and 7,274.77 is: 10,915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.10 : 14,845.05 = 7,274.77 : x
  2. Step 2: Convert to fraction form
    9,894.10/14,845.05 = 7,274.77/x
  3. Step 3: Cross multiply
    9,894.10x = 14,845.05 × 7,274.77
  4. Step 4: Simplify right side
    9,894.10x = 107,994,324.39
  5. Step 5: Solve for x
    x = 107,994,324.39/9,894.10
  6. Step 6: Final answer
    x = 10,915.02

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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.