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Finding the Fourth Proportional to 9,618.96, 14,425.94 and 3,775.62

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Solution

The fourth proportional to 9,618.96, 14,425.94 and 3,775.62 is: 5,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.96 : 14,425.94 = 3,775.62 : x
  2. Step 2: Convert to fraction form
    9,618.96/14,425.94 = 3,775.62/x
  3. Step 3: Cross multiply
    9,618.96x = 14,425.94 × 3,775.62
  4. Step 4: Simplify right side
    9,618.96x = 54,466,867.58
  5. Step 5: Solve for x
    x = 54,466,867.58/9,618.96
  6. Step 6: Final answer
    x = 5,662.45

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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.