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Finding the Fourth Proportional to 6,738.35, 9,300.06 and 4,975.07

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Solution

The fourth proportional to 6,738.35, 9,300.06 and 4,975.07 is: 6,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.35 : 9,300.06 = 4,975.07 : x
  2. Step 2: Convert to fraction form
    6,738.35/9,300.06 = 4,975.07/x
  3. Step 3: Cross multiply
    6,738.35x = 9,300.06 × 4,975.07
  4. Step 4: Simplify right side
    6,738.35x = 46,268,403.00
  5. Step 5: Solve for x
    x = 46,268,403.00/6,738.35
  6. Step 6: Final answer
    x = 6,866.43

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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.