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Finding the Fourth Proportional to 6,285.14, 9,429 and 1,842.95

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Solution

The fourth proportional to 6,285.14, 9,429 and 1,842.95 is: 2,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.14 : 9,429 = 1,842.95 : x
  2. Step 2: Convert to fraction form
    6,285.14/9,429 = 1,842.95/x
  3. Step 3: Cross multiply
    6,285.14x = 9,429 × 1,842.95
  4. Step 4: Simplify right side
    6,285.14x = 17,377,128.41
  5. Step 5: Solve for x
    x = 17,377,128.41/6,285.14
  6. Step 6: Final answer
    x = 2,764.80

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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.