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Finding the Fourth Proportional to 6,346.32, 8,757.14 and 3,513.48

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Solution

The fourth proportional to 6,346.32, 8,757.14 and 3,513.48 is: 4,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.32 : 8,757.14 = 3,513.48 : x
  2. Step 2: Convert to fraction form
    6,346.32/8,757.14 = 3,513.48/x
  3. Step 3: Cross multiply
    6,346.32x = 8,757.14 × 3,513.48
  4. Step 4: Simplify right side
    6,346.32x = 30,768,036.25
  5. Step 5: Solve for x
    x = 30,768,036.25/6,346.32
  6. Step 6: Final answer
    x = 4,848.17

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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.