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Finding the Fourth Proportional to 6,557.36, 9,830.57 and 3,265.92

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Solution

The fourth proportional to 6,557.36, 9,830.57 and 3,265.92 is: 4,896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.36 : 9,830.57 = 3,265.92 : x
  2. Step 2: Convert to fraction form
    6,557.36/9,830.57 = 3,265.92/x
  3. Step 3: Cross multiply
    6,557.36x = 9,830.57 × 3,265.92
  4. Step 4: Simplify right side
    6,557.36x = 32,105,838.84
  5. Step 5: Solve for x
    x = 32,105,838.84/6,557.36
  6. Step 6: Final answer
    x = 4,896.16

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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.