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Finding the Fourth Proportional to 6,109.82, 8,431.54 and 3,315.32

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Solution

The fourth proportional to 6,109.82, 8,431.54 and 3,315.32 is: 4,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.82 : 8,431.54 = 3,315.32 : x
  2. Step 2: Convert to fraction form
    6,109.82/8,431.54 = 3,315.32/x
  3. Step 3: Cross multiply
    6,109.82x = 8,431.54 × 3,315.32
  4. Step 4: Simplify right side
    6,109.82x = 27,953,253.19
  5. Step 5: Solve for x
    x = 27,953,253.19/6,109.82
  6. Step 6: Final answer
    x = 4,575.14

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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.