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Finding the Fourth Proportional to 9,305.84, 12,844.26 and 5,329.23

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Solution

The fourth proportional to 9,305.84, 12,844.26 and 5,329.23 is: 7,355.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.84 : 12,844.26 = 5,329.23 : x
  2. Step 2: Convert to fraction form
    9,305.84/12,844.26 = 5,329.23/x
  3. Step 3: Cross multiply
    9,305.84x = 12,844.26 × 5,329.23
  4. Step 4: Simplify right side
    9,305.84x = 68,450,015.72
  5. Step 5: Solve for x
    x = 68,450,015.72/9,305.84
  6. Step 6: Final answer
    x = 7,355.60

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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.