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Finding the Fourth Proportional to 6,336.36, 9,485.10 and 3,407.40

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Solution

The fourth proportional to 6,336.36, 9,485.10 and 3,407.40 is: 5,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.36 : 9,485.10 = 3,407.40 : x
  2. Step 2: Convert to fraction form
    6,336.36/9,485.10 = 3,407.40/x
  3. Step 3: Cross multiply
    6,336.36x = 9,485.10 × 3,407.40
  4. Step 4: Simplify right side
    6,336.36x = 32,319,529.74
  5. Step 5: Solve for x
    x = 32,319,529.74/6,336.36
  6. Step 6: Final answer
    x = 5,100.65

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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.