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Finding the Fourth Proportional to 9,228.70, 12,735.12 and 5,690.62

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Solution

The fourth proportional to 9,228.70, 12,735.12 and 5,690.62 is: 7,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.70 : 12,735.12 = 5,690.62 : x
  2. Step 2: Convert to fraction form
    9,228.70/12,735.12 = 5,690.62/x
  3. Step 3: Cross multiply
    9,228.70x = 12,735.12 × 5,690.62
  4. Step 4: Simplify right side
    9,228.70x = 72,470,728.57
  5. Step 5: Solve for x
    x = 72,470,728.57/9,228.70
  6. Step 6: Final answer
    x = 7,852.76

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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.