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Finding the Fourth Proportional to 9,149.85, 12,627.14 and 5,563.77

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Solution

The fourth proportional to 9,149.85, 12,627.14 and 5,563.77 is: 7,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.85 : 12,627.14 = 5,563.77 : x
  2. Step 2: Convert to fraction form
    9,149.85/12,627.14 = 5,563.77/x
  3. Step 3: Cross multiply
    9,149.85x = 12,627.14 × 5,563.77
  4. Step 4: Simplify right side
    9,149.85x = 70,254,474.90
  5. Step 5: Solve for x
    x = 70,254,474.90/9,149.85
  6. Step 6: Final answer
    x = 7,678.21

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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.