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Finding the Fourth Proportional to 9,329.46, 13,994.33 and 2,309.50

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Solution

The fourth proportional to 9,329.46, 13,994.33 and 2,309.50 is: 3,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.46 : 13,994.33 = 2,309.50 : x
  2. Step 2: Convert to fraction form
    9,329.46/13,994.33 = 2,309.50/x
  3. Step 3: Cross multiply
    9,329.46x = 13,994.33 × 2,309.50
  4. Step 4: Simplify right side
    9,329.46x = 32,319,905.14
  5. Step 5: Solve for x
    x = 32,319,905.14/9,329.46
  6. Step 6: Final answer
    x = 3,464.28

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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.