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Finding the Fourth Proportional to 6,117.89, 9,184.14 and 3,653.87

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Solution

The fourth proportional to 6,117.89, 9,184.14 and 3,653.87 is: 5,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.89 : 9,184.14 = 3,653.87 : x
  2. Step 2: Convert to fraction form
    6,117.89/9,184.14 = 3,653.87/x
  3. Step 3: Cross multiply
    6,117.89x = 9,184.14 × 3,653.87
  4. Step 4: Simplify right side
    6,117.89x = 33,557,607.70
  5. Step 5: Solve for x
    x = 33,557,607.70/6,117.89
  6. Step 6: Final answer
    x = 5,485.16

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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.