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Finding the Fourth Proportional to 9,643.68, 14,464.77 and 3,800.34

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Solution

The fourth proportional to 9,643.68, 14,464.77 and 3,800.34 is: 5,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.68 : 14,464.77 = 3,800.34 : x
  2. Step 2: Convert to fraction form
    9,643.68/14,464.77 = 3,800.34/x
  3. Step 3: Cross multiply
    9,643.68x = 14,464.77 × 3,800.34
  4. Step 4: Simplify right side
    9,643.68x = 54,971,044.02
  5. Step 5: Solve for x
    x = 54,971,044.02/9,643.68
  6. Step 6: Final answer
    x = 5,700.21

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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.