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Finding the Fourth Proportional to 9,558.92, 14,332.78 and 2,893.44

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Solution

The fourth proportional to 9,558.92, 14,332.78 and 2,893.44 is: 4,338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558.92 : 14,332.78 = 2,893.44 : x
  2. Step 2: Convert to fraction form
    9,558.92/14,332.78 = 2,893.44/x
  3. Step 3: Cross multiply
    9,558.92x = 14,332.78 × 2,893.44
  4. Step 4: Simplify right side
    9,558.92x = 41,471,038.96
  5. Step 5: Solve for x
    x = 41,471,038.96/9,558.92
  6. Step 6: Final answer
    x = 4,338.46

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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.