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Finding the Fourth Proportional to 8,931.26, 12,317.64 and 5,745.08

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Solution

The fourth proportional to 8,931.26, 12,317.64 and 5,745.08 is: 7,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.26 : 12,317.64 = 5,745.08 : x
  2. Step 2: Convert to fraction form
    8,931.26/12,317.64 = 5,745.08/x
  3. Step 3: Cross multiply
    8,931.26x = 12,317.64 × 5,745.08
  4. Step 4: Simplify right side
    8,931.26x = 70,765,827.21
  5. Step 5: Solve for x
    x = 70,765,827.21/8,931.26
  6. Step 6: Final answer
    x = 7,923.39

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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.