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Finding the Fourth Proportional to 6,145.60, 9,218.40 and 5,185.60

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Solution

The fourth proportional to 6,145.60, 9,218.40 and 5,185.60 is: 7,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.60 : 9,218.40 = 5,185.60 : x
  2. Step 2: Convert to fraction form
    6,145.60/9,218.40 = 5,185.60/x
  3. Step 3: Cross multiply
    6,145.60x = 9,218.40 × 5,185.60
  4. Step 4: Simplify right side
    6,145.60x = 47,802,935.04
  5. Step 5: Solve for x
    x = 47,802,935.04/6,145.60
  6. Step 6: Final answer
    x = 7,778.40

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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.