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Finding the Fourth Proportional to 9,112.37, 13,644.90 and 7,804.52

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Solution

The fourth proportional to 9,112.37, 13,644.90 and 7,804.52 is: 11,686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.37 : 13,644.90 = 7,804.52 : x
  2. Step 2: Convert to fraction form
    9,112.37/13,644.90 = 7,804.52/x
  3. Step 3: Cross multiply
    9,112.37x = 13,644.90 × 7,804.52
  4. Step 4: Simplify right side
    9,112.37x = 106,491,946.43
  5. Step 5: Solve for x
    x = 106,491,946.43/9,112.37
  6. Step 6: Final answer
    x = 11,686.53

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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.