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Finding the Fourth Proportional to 9,228.75, 12,735.69 and 5,037

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Solution

The fourth proportional to 9,228.75, 12,735.69 and 5,037 is: 6,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.75 : 12,735.69 = 5,037 : x
  2. Step 2: Convert to fraction form
    9,228.75/12,735.69 = 5,037/x
  3. Step 3: Cross multiply
    9,228.75x = 12,735.69 × 5,037
  4. Step 4: Simplify right side
    9,228.75x = 64,149,670.53
  5. Step 5: Solve for x
    x = 64,149,670.53/9,228.75
  6. Step 6: Final answer
    x = 6,951.07

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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.