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Finding the Fourth Proportional to 8,714.84, 13,077 and 3,784.46

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Solution

The fourth proportional to 8,714.84, 13,077 and 3,784.46 is: 5,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.84 : 13,077 = 3,784.46 : x
  2. Step 2: Convert to fraction form
    8,714.84/13,077 = 3,784.46/x
  3. Step 3: Cross multiply
    8,714.84x = 13,077 × 3,784.46
  4. Step 4: Simplify right side
    8,714.84x = 49,489,318.04
  5. Step 5: Solve for x
    x = 49,489,318.04/8,714.84
  6. Step 6: Final answer
    x = 5,678.74

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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.