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Finding the Fourth Proportional to 9,228.56, 12,735.46 and 5,036.82

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Solution

The fourth proportional to 9,228.56, 12,735.46 and 5,036.82 is: 6,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.56 : 12,735.46 = 5,036.82 : x
  2. Step 2: Convert to fraction form
    9,228.56/12,735.46 = 5,036.82/x
  3. Step 3: Cross multiply
    9,228.56x = 12,735.46 × 5,036.82
  4. Step 4: Simplify right side
    9,228.56x = 64,146,219.64
  5. Step 5: Solve for x
    x = 64,146,219.64/9,228.56
  6. Step 6: Final answer
    x = 6,950.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.