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Finding the Fourth Proportional to 6,762.06, 9,328.76 and 4,242.46

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Solution

The fourth proportional to 6,762.06, 9,328.76 and 4,242.46 is: 5,852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.06 : 9,328.76 = 4,242.46 : x
  2. Step 2: Convert to fraction form
    6,762.06/9,328.76 = 4,242.46/x
  3. Step 3: Cross multiply
    6,762.06x = 9,328.76 × 4,242.46
  4. Step 4: Simplify right side
    6,762.06x = 39,576,891.15
  5. Step 5: Solve for x
    x = 39,576,891.15/6,762.06
  6. Step 6: Final answer
    x = 5,852.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.