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Finding the Fourth Proportional to 9,775.37, 14,665.77 and 4,511.99

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Solution

The fourth proportional to 9,775.37, 14,665.77 and 4,511.99 is: 6,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.37 : 14,665.77 = 4,511.99 : x
  2. Step 2: Convert to fraction form
    9,775.37/14,665.77 = 4,511.99/x
  3. Step 3: Cross multiply
    9,775.37x = 14,665.77 × 4,511.99
  4. Step 4: Simplify right side
    9,775.37x = 66,171,807.58
  5. Step 5: Solve for x
    x = 66,171,807.58/9,775.37
  6. Step 6: Final answer
    x = 6,769.24

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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.