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Finding the Fourth Proportional to 9,908.25, 14,851.90 and 3,664.26

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Solution

The fourth proportional to 9,908.25, 14,851.90 and 3,664.26 is: 5,492.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.25 : 14,851.90 = 3,664.26 : x
  2. Step 2: Convert to fraction form
    9,908.25/14,851.90 = 3,664.26/x
  3. Step 3: Cross multiply
    9,908.25x = 14,851.90 × 3,664.26
  4. Step 4: Simplify right side
    9,908.25x = 54,421,148.83
  5. Step 5: Solve for x
    x = 54,421,148.83/9,908.25
  6. Step 6: Final answer
    x = 5,492.51

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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.