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Finding the Fourth Proportional to 9,759.84, 14,641.65 and 3,184.26

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Solution

The fourth proportional to 9,759.84, 14,641.65 and 3,184.26 is: 4,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.84 : 14,641.65 = 3,184.26 : x
  2. Step 2: Convert to fraction form
    9,759.84/14,641.65 = 3,184.26/x
  3. Step 3: Cross multiply
    9,759.84x = 14,641.65 × 3,184.26
  4. Step 4: Simplify right side
    9,759.84x = 46,622,820.43
  5. Step 5: Solve for x
    x = 46,622,820.43/9,759.84
  6. Step 6: Final answer
    x = 4,777.01

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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.