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Finding the Fourth Proportional to 6,276.71, 9,416.58 and 1,893.90

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Solution

The fourth proportional to 6,276.71, 9,416.58 and 1,893.90 is: 2,841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.71 : 9,416.58 = 1,893.90 : x
  2. Step 2: Convert to fraction form
    6,276.71/9,416.58 = 1,893.90/x
  3. Step 3: Cross multiply
    6,276.71x = 9,416.58 × 1,893.90
  4. Step 4: Simplify right side
    6,276.71x = 17,834,060.86
  5. Step 5: Solve for x
    x = 17,834,060.86/6,276.71
  6. Step 6: Final answer
    x = 2,841.31

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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.