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Finding the Fourth Proportional to 6,145.09, 8,477.82 and 3,783.13

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Solution

The fourth proportional to 6,145.09, 8,477.82 and 3,783.13 is: 5,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.09 : 8,477.82 = 3,783.13 : x
  2. Step 2: Convert to fraction form
    6,145.09/8,477.82 = 3,783.13/x
  3. Step 3: Cross multiply
    6,145.09x = 8,477.82 × 3,783.13
  4. Step 4: Simplify right side
    6,145.09x = 32,072,695.18
  5. Step 5: Solve for x
    x = 32,072,695.18/6,145.09
  6. Step 6: Final answer
    x = 5,219.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.