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Finding the Fourth Proportional to 9,208.84, 13,747.61 and 8,884.84

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Solution

The fourth proportional to 9,208.84, 13,747.61 and 8,884.84 is: 13,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.84 : 13,747.61 = 8,884.84 : x
  2. Step 2: Convert to fraction form
    9,208.84/13,747.61 = 8,884.84/x
  3. Step 3: Cross multiply
    9,208.84x = 13,747.61 × 8,884.84
  4. Step 4: Simplify right side
    9,208.84x = 122,145,315.23
  5. Step 5: Solve for x
    x = 122,145,315.23/9,208.84
  6. Step 6: Final answer
    x = 13,263.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.