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Finding the Fourth Proportional to 9,205.83, 13,810.56 and 3,361.68

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Solution

The fourth proportional to 9,205.83, 13,810.56 and 3,361.68 is: 5,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.83 : 13,810.56 = 3,361.68 : x
  2. Step 2: Convert to fraction form
    9,205.83/13,810.56 = 3,361.68/x
  3. Step 3: Cross multiply
    9,205.83x = 13,810.56 × 3,361.68
  4. Step 4: Simplify right side
    9,205.83x = 46,426,683.34
  5. Step 5: Solve for x
    x = 46,426,683.34/9,205.83
  6. Step 6: Final answer
    x = 5,043.18

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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.