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Finding the Fourth Proportional to 9,778.06, 13,495.49 and 6,414.94

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Solution

The fourth proportional to 9,778.06, 13,495.49 and 6,414.94 is: 8,853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.06 : 13,495.49 = 6,414.94 : x
  2. Step 2: Convert to fraction form
    9,778.06/13,495.49 = 6,414.94/x
  3. Step 3: Cross multiply
    9,778.06x = 13,495.49 × 6,414.94
  4. Step 4: Simplify right side
    9,778.06x = 86,572,707.18
  5. Step 5: Solve for x
    x = 86,572,707.18/9,778.06
  6. Step 6: Final answer
    x = 8,853.78

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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.