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Finding the Fourth Proportional to 6,638.36, 9,879.16 and 6,416.92

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Solution

The fourth proportional to 6,638.36, 9,879.16 and 6,416.92 is: 9,549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.36 : 9,879.16 = 6,416.92 : x
  2. Step 2: Convert to fraction form
    6,638.36/9,879.16 = 6,416.92/x
  3. Step 3: Cross multiply
    6,638.36x = 9,879.16 × 6,416.92
  4. Step 4: Simplify right side
    6,638.36x = 63,393,779.39
  5. Step 5: Solve for x
    x = 63,393,779.39/6,638.36
  6. Step 6: Final answer
    x = 9,549.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.