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Finding the Fourth Proportional to 6,388.36, 9,562.74 and 3,459.40

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Solution

The fourth proportional to 6,388.36, 9,562.74 and 3,459.40 is: 5,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.36 : 9,562.74 = 3,459.40 : x
  2. Step 2: Convert to fraction form
    6,388.36/9,562.74 = 3,459.40/x
  3. Step 3: Cross multiply
    6,388.36x = 9,562.74 × 3,459.40
  4. Step 4: Simplify right side
    6,388.36x = 33,081,342.76
  5. Step 5: Solve for x
    x = 33,081,342.76/6,388.36
  6. Step 6: Final answer
    x = 5,178.38

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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.