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Finding the Fourth Proportional to 6,406.54, 9,606.40 and 3,285.28

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Solution

The fourth proportional to 6,406.54, 9,606.40 and 3,285.28 is: 4,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.54 : 9,606.40 = 3,285.28 : x
  2. Step 2: Convert to fraction form
    6,406.54/9,606.40 = 3,285.28/x
  3. Step 3: Cross multiply
    6,406.54x = 9,606.40 × 3,285.28
  4. Step 4: Simplify right side
    6,406.54x = 31,559,744.60
  5. Step 5: Solve for x
    x = 31,559,744.60/6,406.54
  6. Step 6: Final answer
    x = 4,926.17

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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.