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Finding the Fourth Proportional to 6,368.94, 9,553.85 and 1,688.90

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Solution

The fourth proportional to 6,368.94, 9,553.85 and 1,688.90 is: 2,533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.94 : 9,553.85 = 1,688.90 : x
  2. Step 2: Convert to fraction form
    6,368.94/9,553.85 = 1,688.90/x
  3. Step 3: Cross multiply
    6,368.94x = 9,553.85 × 1,688.90
  4. Step 4: Simplify right side
    6,368.94x = 16,135,441.05
  5. Step 5: Solve for x
    x = 16,135,441.05/6,368.94
  6. Step 6: Final answer
    x = 2,533.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.