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Finding the Fourth Proportional to 6,274.49, 9,397.15 and 4,076.55

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Solution

The fourth proportional to 6,274.49, 9,397.15 and 4,076.55 is: 6,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.49 : 9,397.15 = 4,076.55 : x
  2. Step 2: Convert to fraction form
    6,274.49/9,397.15 = 4,076.55/x
  3. Step 3: Cross multiply
    6,274.49x = 9,397.15 × 4,076.55
  4. Step 4: Simplify right side
    6,274.49x = 38,307,941.64
  5. Step 5: Solve for x
    x = 38,307,941.64/6,274.49
  6. Step 6: Final answer
    x = 6,105.35

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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.