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Finding the Fourth Proportional to 9,775.63, 13,486.83 and 6,420.26

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Solution

The fourth proportional to 9,775.63, 13,486.83 and 6,420.26 is: 8,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.63 : 13,486.83 = 6,420.26 : x
  2. Step 2: Convert to fraction form
    9,775.63/13,486.83 = 6,420.26/x
  3. Step 3: Cross multiply
    9,775.63x = 13,486.83 × 6,420.26
  4. Step 4: Simplify right side
    9,775.63x = 86,589,004.94
  5. Step 5: Solve for x
    x = 86,589,004.94/9,775.63
  6. Step 6: Final answer
    x = 8,857.64

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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.