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Finding the Fourth Proportional to 9,610.68, 14,407.42 and 3,771.36

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Solution

The fourth proportional to 9,610.68, 14,407.42 and 3,771.36 is: 5,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.68 : 14,407.42 = 3,771.36 : x
  2. Step 2: Convert to fraction form
    9,610.68/14,407.42 = 3,771.36/x
  3. Step 3: Cross multiply
    9,610.68x = 14,407.42 × 3,771.36
  4. Step 4: Simplify right side
    9,610.68x = 54,335,567.49
  5. Step 5: Solve for x
    x = 54,335,567.49/9,610.68
  6. Step 6: Final answer
    x = 5,653.67

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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.