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Finding the Fourth Proportional to 9,103.84, 12,563.16 and 5,124.94

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Solution

The fourth proportional to 9,103.84, 12,563.16 and 5,124.94 is: 7,072.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.84 : 12,563.16 = 5,124.94 : x
  2. Step 2: Convert to fraction form
    9,103.84/12,563.16 = 5,124.94/x
  3. Step 3: Cross multiply
    9,103.84x = 12,563.16 × 5,124.94
  4. Step 4: Simplify right side
    9,103.84x = 64,385,441.21
  5. Step 5: Solve for x
    x = 64,385,441.21/9,103.84
  6. Step 6: Final answer
    x = 7,072.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.