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Finding the Fourth Proportional to 6,276.16, 9,412.59 and 2,982.70

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Solution

The fourth proportional to 6,276.16, 9,412.59 and 2,982.70 is: 4,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.16 : 9,412.59 = 2,982.70 : x
  2. Step 2: Convert to fraction form
    6,276.16/9,412.59 = 2,982.70/x
  3. Step 3: Cross multiply
    6,276.16x = 9,412.59 × 2,982.70
  4. Step 4: Simplify right side
    6,276.16x = 28,074,932.19
  5. Step 5: Solve for x
    x = 28,074,932.19/6,276.16
  6. Step 6: Final answer
    x = 4,473.27

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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.