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Finding the Fourth Proportional to 9,824.12, 14,730.80 and 3,895

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Solution

The fourth proportional to 9,824.12, 14,730.80 and 3,895 is: 5,840.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.12 : 14,730.80 = 3,895 : x
  2. Step 2: Convert to fraction form
    9,824.12/14,730.80 = 3,895/x
  3. Step 3: Cross multiply
    9,824.12x = 14,730.80 × 3,895
  4. Step 4: Simplify right side
    9,824.12x = 57,376,446.53
  5. Step 5: Solve for x
    x = 57,376,446.53/9,824.12
  6. Step 6: Final answer
    x = 5,840.36

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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.