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Finding the Fourth Proportional to 9,133.24, 13,699.94 and 2,893.14

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Solution

The fourth proportional to 9,133.24, 13,699.94 and 2,893.14 is: 4,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.24 : 13,699.94 = 2,893.14 : x
  2. Step 2: Convert to fraction form
    9,133.24/13,699.94 = 2,893.14/x
  3. Step 3: Cross multiply
    9,133.24x = 13,699.94 × 2,893.14
  4. Step 4: Simplify right side
    9,133.24x = 39,635,844.41
  5. Step 5: Solve for x
    x = 39,635,844.41/9,133.24
  6. Step 6: Final answer
    x = 4,339.74

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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.