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Finding the Fourth Proportional to 9,243.81, 13,866.32 and 3,320.08

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Solution

The fourth proportional to 9,243.81, 13,866.32 and 3,320.08 is: 4,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.81 : 13,866.32 = 3,320.08 : x
  2. Step 2: Convert to fraction form
    9,243.81/13,866.32 = 3,320.08/x
  3. Step 3: Cross multiply
    9,243.81x = 13,866.32 × 3,320.08
  4. Step 4: Simplify right side
    9,243.81x = 46,037,265.34
  5. Step 5: Solve for x
    x = 46,037,265.34/9,243.81
  6. Step 6: Final answer
    x = 4,980.33

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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.