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Finding the Fourth Proportional to 9,775.94, 13,487.27 and 6,420.57

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Solution

The fourth proportional to 9,775.94, 13,487.27 and 6,420.57 is: 8,858.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.94 : 13,487.27 = 6,420.57 : x
  2. Step 2: Convert to fraction form
    9,775.94/13,487.27 = 6,420.57/x
  3. Step 3: Cross multiply
    9,775.94x = 13,487.27 × 6,420.57
  4. Step 4: Simplify right side
    9,775.94x = 86,595,979.62
  5. Step 5: Solve for x
    x = 86,595,979.62/9,775.94
  6. Step 6: Final answer
    x = 8,858.07

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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.