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Finding the Fourth Proportional to 6,274.16, 9,407.40 and 2,374.40

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Solution

The fourth proportional to 6,274.16, 9,407.40 and 2,374.40 is: 3,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.16 : 9,407.40 = 2,374.40 : x
  2. Step 2: Convert to fraction form
    6,274.16/9,407.40 = 2,374.40/x
  3. Step 3: Cross multiply
    6,274.16x = 9,407.40 × 2,374.40
  4. Step 4: Simplify right side
    6,274.16x = 22,336,930.56
  5. Step 5: Solve for x
    x = 22,336,930.56/6,274.16
  6. Step 6: Final answer
    x = 3,560.15

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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.