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Finding the Fourth Proportional to 9,928.84, 14,894.22 and 2,813.10

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Solution

The fourth proportional to 9,928.84, 14,894.22 and 2,813.10 is: 4,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.84 : 14,894.22 = 2,813.10 : x
  2. Step 2: Convert to fraction form
    9,928.84/14,894.22 = 2,813.10/x
  3. Step 3: Cross multiply
    9,928.84x = 14,894.22 × 2,813.10
  4. Step 4: Simplify right side
    9,928.84x = 41,898,930.28
  5. Step 5: Solve for x
    x = 41,898,930.28/9,928.84
  6. Step 6: Final answer
    x = 4,219.92

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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.