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Finding the Fourth Proportional to 9,829.53, 14,736.90 and 5,933.01

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Solution

The fourth proportional to 9,829.53, 14,736.90 and 5,933.01 is: 8,895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.53 : 14,736.90 = 5,933.01 : x
  2. Step 2: Convert to fraction form
    9,829.53/14,736.90 = 5,933.01/x
  3. Step 3: Cross multiply
    9,829.53x = 14,736.90 × 5,933.01
  4. Step 4: Simplify right side
    9,829.53x = 87,434,175.07
  5. Step 5: Solve for x
    x = 87,434,175.07/9,829.53
  6. Step 6: Final answer
    x = 8,895.05

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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.