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Finding the Fourth Proportional to 6,482.34, 9,712.26 and 5,449.14

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Solution

The fourth proportional to 6,482.34, 9,712.26 and 5,449.14 is: 8,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.34 : 9,712.26 = 5,449.14 : x
  2. Step 2: Convert to fraction form
    6,482.34/9,712.26 = 5,449.14/x
  3. Step 3: Cross multiply
    6,482.34x = 9,712.26 × 5,449.14
  4. Step 4: Simplify right side
    6,482.34x = 52,923,464.46
  5. Step 5: Solve for x
    x = 52,923,464.46/6,482.34
  6. Step 6: Final answer
    x = 8,164.25

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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.