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Finding the Fourth Proportional to 6,506.82, 9,762.66 and 2,807.55

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Solution

The fourth proportional to 6,506.82, 9,762.66 and 2,807.55 is: 4,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.82 : 9,762.66 = 2,807.55 : x
  2. Step 2: Convert to fraction form
    6,506.82/9,762.66 = 2,807.55/x
  3. Step 3: Cross multiply
    6,506.82x = 9,762.66 × 2,807.55
  4. Step 4: Simplify right side
    6,506.82x = 27,409,156.08
  5. Step 5: Solve for x
    x = 27,409,156.08/6,506.82
  6. Step 6: Final answer
    x = 4,212.37

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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.