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Finding the Fourth Proportional to 6,702.48, 9,242.13 and 4,183.68

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Solution

The fourth proportional to 6,702.48, 9,242.13 and 4,183.68 is: 5,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.48 : 9,242.13 = 4,183.68 : x
  2. Step 2: Convert to fraction form
    6,702.48/9,242.13 = 4,183.68/x
  3. Step 3: Cross multiply
    6,702.48x = 9,242.13 × 4,183.68
  4. Step 4: Simplify right side
    6,702.48x = 38,666,164.79
  5. Step 5: Solve for x
    x = 38,666,164.79/6,702.48
  6. Step 6: Final answer
    x = 5,768.93

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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.