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Finding the Fourth Proportional to 9,353.84, 12,891.93 and 8,323.25

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Solution

The fourth proportional to 9,353.84, 12,891.93 and 8,323.25 is: 11,471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.84 : 12,891.93 = 8,323.25 : x
  2. Step 2: Convert to fraction form
    9,353.84/12,891.93 = 8,323.25/x
  3. Step 3: Cross multiply
    9,353.84x = 12,891.93 × 8,323.25
  4. Step 4: Simplify right side
    9,353.84x = 107,302,756.37
  5. Step 5: Solve for x
    x = 107,302,756.37/9,353.84
  6. Step 6: Final answer
    x = 11,471.52

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1.5x scale

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.