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Finding the Fourth Proportional to 6,274.17, 9,405.14 and 2,986.38

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Solution

The fourth proportional to 6,274.17, 9,405.14 and 2,986.38 is: 4,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.17 : 9,405.14 = 2,986.38 : x
  2. Step 2: Convert to fraction form
    6,274.17/9,405.14 = 2,986.38/x
  3. Step 3: Cross multiply
    6,274.17x = 9,405.14 × 2,986.38
  4. Step 4: Simplify right side
    6,274.17x = 28,087,307.06
  5. Step 5: Solve for x
    x = 28,087,307.06/6,274.17
  6. Step 6: Final answer
    x = 4,476.66

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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.