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Finding the Fourth Proportional to 6,502.74, 9,751.33 and 2,803.06

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Solution

The fourth proportional to 6,502.74, 9,751.33 and 2,803.06 is: 4,203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.74 : 9,751.33 = 2,803.06 : x
  2. Step 2: Convert to fraction form
    6,502.74/9,751.33 = 2,803.06/x
  3. Step 3: Cross multiply
    6,502.74x = 9,751.33 × 2,803.06
  4. Step 4: Simplify right side
    6,502.74x = 27,333,563.07
  5. Step 5: Solve for x
    x = 27,333,563.07/6,502.74
  6. Step 6: Final answer
    x = 4,203.39

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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.