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Finding the Fourth Proportional to 6,555.84, 9,790.32 and 5,760.96

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Solution

The fourth proportional to 6,555.84, 9,790.32 and 5,760.96 is: 8,603.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.84 : 9,790.32 = 5,760.96 : x
  2. Step 2: Convert to fraction form
    6,555.84/9,790.32 = 5,760.96/x
  3. Step 3: Cross multiply
    6,555.84x = 9,790.32 × 5,760.96
  4. Step 4: Simplify right side
    6,555.84x = 56,401,641.91
  5. Step 5: Solve for x
    x = 56,401,641.91/6,555.84
  6. Step 6: Final answer
    x = 8,603.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.