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Finding the Fourth Proportional to 9,356.34, 14,022.36 and 3,803.22

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Solution

The fourth proportional to 9,356.34, 14,022.36 and 3,803.22 is: 5,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.34 : 14,022.36 = 3,803.22 : x
  2. Step 2: Convert to fraction form
    9,356.34/14,022.36 = 3,803.22/x
  3. Step 3: Cross multiply
    9,356.34x = 14,022.36 × 3,803.22
  4. Step 4: Simplify right side
    9,356.34x = 53,330,120.00
  5. Step 5: Solve for x
    x = 53,330,120.00/9,356.34
  6. Step 6: Final answer
    x = 5,699.89

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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.