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Finding the Fourth Proportional to 9,809.02, 14,716.01 and 4,261.02

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Solution

The fourth proportional to 9,809.02, 14,716.01 and 4,261.02 is: 6,392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.02 : 14,716.01 = 4,261.02 : x
  2. Step 2: Convert to fraction form
    9,809.02/14,716.01 = 4,261.02/x
  3. Step 3: Cross multiply
    9,809.02x = 14,716.01 × 4,261.02
  4. Step 4: Simplify right side
    9,809.02x = 62,705,212.93
  5. Step 5: Solve for x
    x = 62,705,212.93/9,809.02
  6. Step 6: Final answer
    x = 6,392.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.