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Finding the Fourth Proportional to 9,650.84, 14,466.45 and 3,799.40

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Solution

The fourth proportional to 9,650.84, 14,466.45 and 3,799.40 is: 5,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.84 : 14,466.45 = 3,799.40 : x
  2. Step 2: Convert to fraction form
    9,650.84/14,466.45 = 3,799.40/x
  3. Step 3: Cross multiply
    9,650.84x = 14,466.45 × 3,799.40
  4. Step 4: Simplify right side
    9,650.84x = 54,963,830.13
  5. Step 5: Solve for x
    x = 54,963,830.13/9,650.84
  6. Step 6: Final answer
    x = 5,695.24

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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.