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Finding the Fourth Proportional to 9,283.96, 12,814.26 and 5,745.16

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Solution

The fourth proportional to 9,283.96, 12,814.26 and 5,745.16 is: 7,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.96 : 12,814.26 = 5,745.16 : x
  2. Step 2: Convert to fraction form
    9,283.96/12,814.26 = 5,745.16/x
  3. Step 3: Cross multiply
    9,283.96x = 12,814.26 × 5,745.16
  4. Step 4: Simplify right side
    9,283.96x = 73,619,973.98
  5. Step 5: Solve for x
    x = 73,619,973.98/9,283.96
  6. Step 6: Final answer
    x = 7,929.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.