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Finding the Fourth Proportional to 9,468.44, 14,204.71 and 3,625.05

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Solution

The fourth proportional to 9,468.44, 14,204.71 and 3,625.05 is: 5,438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.44 : 14,204.71 = 3,625.05 : x
  2. Step 2: Convert to fraction form
    9,468.44/14,204.71 = 3,625.05/x
  3. Step 3: Cross multiply
    9,468.44x = 14,204.71 × 3,625.05
  4. Step 4: Simplify right side
    9,468.44x = 51,492,712.96
  5. Step 5: Solve for x
    x = 51,492,712.96/9,468.44
  6. Step 6: Final answer
    x = 5,438.35

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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.