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Finding the Fourth Proportional to 9,122.36, 13,676.58 and 7,557.56

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Solution

The fourth proportional to 9,122.36, 13,676.58 and 7,557.56 is: 11,330.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.36 : 13,676.58 = 7,557.56 : x
  2. Step 2: Convert to fraction form
    9,122.36/13,676.58 = 7,557.56/x
  3. Step 3: Cross multiply
    9,122.36x = 13,676.58 × 7,557.56
  4. Step 4: Simplify right side
    9,122.36x = 103,361,573.94
  5. Step 5: Solve for x
    x = 103,361,573.94/9,122.36
  6. Step 6: Final answer
    x = 11,330.57

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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.