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Finding the Fourth Proportional to 9,550.71, 14,326.11 and 2,977.02

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Solution

The fourth proportional to 9,550.71, 14,326.11 and 2,977.02 is: 4,465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.71 : 14,326.11 = 2,977.02 : x
  2. Step 2: Convert to fraction form
    9,550.71/14,326.11 = 2,977.02/x
  3. Step 3: Cross multiply
    9,550.71x = 14,326.11 × 2,977.02
  4. Step 4: Simplify right side
    9,550.71x = 42,649,115.99
  5. Step 5: Solve for x
    x = 42,649,115.99/9,550.71
  6. Step 6: Final answer
    x = 4,465.54

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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.