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Finding the Fourth Proportional to 9,828.90, 14,743.38 and 8,093.88

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Solution

The fourth proportional to 9,828.90, 14,743.38 and 8,093.88 is: 12,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.90 : 14,743.38 = 8,093.88 : x
  2. Step 2: Convert to fraction form
    9,828.90/14,743.38 = 8,093.88/x
  3. Step 3: Cross multiply
    9,828.90x = 14,743.38 × 8,093.88
  4. Step 4: Simplify right side
    9,828.90x = 119,331,148.51
  5. Step 5: Solve for x
    x = 119,331,148.51/9,828.90
  6. Step 6: Final answer
    x = 12,140.84

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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.