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Finding the Fourth Proportional to 9,617.58, 14,426.37 and 3,775.32

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Solution

The fourth proportional to 9,617.58, 14,426.37 and 3,775.32 is: 5,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.58 : 14,426.37 = 3,775.32 : x
  2. Step 2: Convert to fraction form
    9,617.58/14,426.37 = 3,775.32/x
  3. Step 3: Cross multiply
    9,617.58x = 14,426.37 × 3,775.32
  4. Step 4: Simplify right side
    9,617.58x = 54,464,163.19
  5. Step 5: Solve for x
    x = 54,464,163.19/9,617.58
  6. Step 6: Final answer
    x = 5,662.98

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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.