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Finding the Fourth Proportional to 6,477.56, 9,694.32 and 4,830.02

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Solution

The fourth proportional to 6,477.56, 9,694.32 and 4,830.02 is: 7,228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.56 : 9,694.32 = 4,830.02 : x
  2. Step 2: Convert to fraction form
    6,477.56/9,694.32 = 4,830.02/x
  3. Step 3: Cross multiply
    6,477.56x = 9,694.32 × 4,830.02
  4. Step 4: Simplify right side
    6,477.56x = 46,823,759.49
  5. Step 5: Solve for x
    x = 46,823,759.49/6,477.56
  6. Step 6: Final answer
    x = 7,228.61

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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.