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Finding the Fourth Proportional to 8,941.63, 12,334.32 and 5,578.60

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Solution

The fourth proportional to 8,941.63, 12,334.32 and 5,578.60 is: 7,695.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,941.63 : 12,334.32 = 5,578.60 : x
  2. Step 2: Convert to fraction form
    8,941.63/12,334.32 = 5,578.60/x
  3. Step 3: Cross multiply
    8,941.63x = 12,334.32 × 5,578.60
  4. Step 4: Simplify right side
    8,941.63x = 68,808,237.55
  5. Step 5: Solve for x
    x = 68,808,237.55/8,941.63
  6. Step 6: Final answer
    x = 7,695.27

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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.