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Finding the Fourth Proportional to 9,334.45, 12,877 and 5,974.57

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Solution

The fourth proportional to 9,334.45, 12,877 and 5,974.57 is: 8,242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.45 : 12,877 = 5,974.57 : x
  2. Step 2: Convert to fraction form
    9,334.45/12,877 = 5,974.57/x
  3. Step 3: Cross multiply
    9,334.45x = 12,877 × 5,974.57
  4. Step 4: Simplify right side
    9,334.45x = 76,934,537.89
  5. Step 5: Solve for x
    x = 76,934,537.89/9,334.45
  6. Step 6: Final answer
    x = 8,242.00

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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.