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Finding the Fourth Proportional to 9,533.94, 13,156.84 and 5,807.94

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Solution

The fourth proportional to 9,533.94, 13,156.84 and 5,807.94 is: 8,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.94 : 13,156.84 = 5,807.94 : x
  2. Step 2: Convert to fraction form
    9,533.94/13,156.84 = 5,807.94/x
  3. Step 3: Cross multiply
    9,533.94x = 13,156.84 × 5,807.94
  4. Step 4: Simplify right side
    9,533.94x = 76,414,137.31
  5. Step 5: Solve for x
    x = 76,414,137.31/9,533.94
  6. Step 6: Final answer
    x = 8,014.96

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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.