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Finding the Fourth Proportional to 9,614.49, 14,421.86 and 3,041.25

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Solution

The fourth proportional to 9,614.49, 14,421.86 and 3,041.25 is: 4,561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.49 : 14,421.86 = 3,041.25 : x
  2. Step 2: Convert to fraction form
    9,614.49/14,421.86 = 3,041.25/x
  3. Step 3: Cross multiply
    9,614.49x = 14,421.86 × 3,041.25
  4. Step 4: Simplify right side
    9,614.49x = 43,860,481.73
  5. Step 5: Solve for x
    x = 43,860,481.73/9,614.49
  6. Step 6: Final answer
    x = 4,561.91

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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.