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Finding the Fourth Proportional to 9,825.84, 14,738.04 and 4,894.11

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Solution

The fourth proportional to 9,825.84, 14,738.04 and 4,894.11 is: 7,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.84 : 14,738.04 = 4,894.11 : x
  2. Step 2: Convert to fraction form
    9,825.84/14,738.04 = 4,894.11/x
  3. Step 3: Cross multiply
    9,825.84x = 14,738.04 × 4,894.11
  4. Step 4: Simplify right side
    9,825.84x = 72,129,588.94
  5. Step 5: Solve for x
    x = 72,129,588.94/9,825.84
  6. Step 6: Final answer
    x = 7,340.81

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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.