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Finding the Fourth Proportional to 9,563.77, 14,341.60 and 3,716.38

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Solution

The fourth proportional to 9,563.77, 14,341.60 and 3,716.38 is: 5,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.77 : 14,341.60 = 3,716.38 : x
  2. Step 2: Convert to fraction form
    9,563.77/14,341.60 = 3,716.38/x
  3. Step 3: Cross multiply
    9,563.77x = 14,341.60 × 3,716.38
  4. Step 4: Simplify right side
    9,563.77x = 53,298,835.41
  5. Step 5: Solve for x
    x = 53,298,835.41/9,563.77
  6. Step 6: Final answer
    x = 5,572.99

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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.