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Finding the Fourth Proportional to 6,274.74, 9,417.28 and 3,155.63

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Solution

The fourth proportional to 6,274.74, 9,417.28 and 3,155.63 is: 4,736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.74 : 9,417.28 = 3,155.63 : x
  2. Step 2: Convert to fraction form
    6,274.74/9,417.28 = 3,155.63/x
  3. Step 3: Cross multiply
    6,274.74x = 9,417.28 × 3,155.63
  4. Step 4: Simplify right side
    6,274.74x = 29,717,451.29
  5. Step 5: Solve for x
    x = 29,717,451.29/6,274.74
  6. Step 6: Final answer
    x = 4,736.05

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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.