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Finding the Fourth Proportional to 6,276.17, 9,404.27 and 3,314.51

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Solution

The fourth proportional to 6,276.17, 9,404.27 and 3,314.51 is: 4,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.17 : 9,404.27 = 3,314.51 : x
  2. Step 2: Convert to fraction form
    6,276.17/9,404.27 = 3,314.51/x
  3. Step 3: Cross multiply
    6,276.17x = 9,404.27 × 3,314.51
  4. Step 4: Simplify right side
    6,276.17x = 31,170,483.36
  5. Step 5: Solve for x
    x = 31,170,483.36/6,276.17
  6. Step 6: Final answer
    x = 4,966.48

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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.