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Finding the Fourth Proportional to 6,146.16, 9,218.63 and 2,447.40

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Solution

The fourth proportional to 6,146.16, 9,218.63 and 2,447.40 is: 3,670.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.16 : 9,218.63 = 2,447.40 : x
  2. Step 2: Convert to fraction form
    6,146.16/9,218.63 = 2,447.40/x
  3. Step 3: Cross multiply
    6,146.16x = 9,218.63 × 2,447.40
  4. Step 4: Simplify right side
    6,146.16x = 22,561,681.18
  5. Step 5: Solve for x
    x = 22,561,681.18/6,146.16
  6. Step 6: Final answer
    x = 3,670.86

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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.