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Finding the Fourth Proportional to 9,042.34, 13,558.42 and 3,771.67

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Solution

The fourth proportional to 9,042.34, 13,558.42 and 3,771.67 is: 5,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.34 : 13,558.42 = 3,771.67 : x
  2. Step 2: Convert to fraction form
    9,042.34/13,558.42 = 3,771.67/x
  3. Step 3: Cross multiply
    9,042.34x = 13,558.42 × 3,771.67
  4. Step 4: Simplify right side
    9,042.34x = 51,137,885.96
  5. Step 5: Solve for x
    x = 51,137,885.96/9,042.34
  6. Step 6: Final answer
    x = 5,655.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.