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Finding the Fourth Proportional to 6,276.66, 9,416.34 and 1,894.56

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Solution

The fourth proportional to 6,276.66, 9,416.34 and 1,894.56 is: 2,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.66 : 9,416.34 = 1,894.56 : x
  2. Step 2: Convert to fraction form
    6,276.66/9,416.34 = 1,894.56/x
  3. Step 3: Cross multiply
    6,276.66x = 9,416.34 × 1,894.56
  4. Step 4: Simplify right side
    6,276.66x = 17,839,821.11
  5. Step 5: Solve for x
    x = 17,839,821.11/6,276.66
  6. Step 6: Final answer
    x = 2,842.25

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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.