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Finding the Fourth Proportional to 9,807.70, 13,533.30 and 6,268.40

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Solution

The fourth proportional to 9,807.70, 13,533.30 and 6,268.40 is: 8,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.70 : 13,533.30 = 6,268.40 : x
  2. Step 2: Convert to fraction form
    9,807.70/13,533.30 = 6,268.40/x
  3. Step 3: Cross multiply
    9,807.70x = 13,533.30 × 6,268.40
  4. Step 4: Simplify right side
    9,807.70x = 84,832,137.72
  5. Step 5: Solve for x
    x = 84,832,137.72/9,807.70
  6. Step 6: Final answer
    x = 8,649.54

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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.