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Finding the Fourth Proportional to 9,649.95, 14,467.37 and 3,810.93

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Solution

The fourth proportional to 9,649.95, 14,467.37 and 3,810.93 is: 5,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.95 : 14,467.37 = 3,810.93 : x
  2. Step 2: Convert to fraction form
    9,649.95/14,467.37 = 3,810.93/x
  3. Step 3: Cross multiply
    9,649.95x = 14,467.37 × 3,810.93
  4. Step 4: Simplify right side
    9,649.95x = 55,134,115.30
  5. Step 5: Solve for x
    x = 55,134,115.30/9,649.95
  6. Step 6: Final answer
    x = 5,713.41

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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.