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Finding the Fourth Proportional to 6,185.53, 9,277.40 and 1,801.81

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Solution

The fourth proportional to 6,185.53, 9,277.40 and 1,801.81 is: 2,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.53 : 9,277.40 = 1,801.81 : x
  2. Step 2: Convert to fraction form
    6,185.53/9,277.40 = 1,801.81/x
  3. Step 3: Cross multiply
    6,185.53x = 9,277.40 × 1,801.81
  4. Step 4: Simplify right side
    6,185.53x = 16,716,103.08
  5. Step 5: Solve for x
    x = 16,716,103.08/6,185.53
  6. Step 6: Final answer
    x = 2,702.45

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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.