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Finding the Fourth Proportional to 6,276.84, 9,415.20 and 3,812.34

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Solution

The fourth proportional to 6,276.84, 9,415.20 and 3,812.34 is: 5,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.84 : 9,415.20 = 3,812.34 : x
  2. Step 2: Convert to fraction form
    6,276.84/9,415.20 = 3,812.34/x
  3. Step 3: Cross multiply
    6,276.84x = 9,415.20 × 3,812.34
  4. Step 4: Simplify right side
    6,276.84x = 35,893,943.57
  5. Step 5: Solve for x
    x = 35,893,943.57/6,276.84
  6. Step 6: Final answer
    x = 5,718.47

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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.