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Finding the Fourth Proportional to 9,292.44, 12,823.50 and 5,100.60

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Solution

The fourth proportional to 9,292.44, 12,823.50 and 5,100.60 is: 7,038.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.44 : 12,823.50 = 5,100.60 : x
  2. Step 2: Convert to fraction form
    9,292.44/12,823.50 = 5,100.60/x
  3. Step 3: Cross multiply
    9,292.44x = 12,823.50 × 5,100.60
  4. Step 4: Simplify right side
    9,292.44x = 65,407,544.10
  5. Step 5: Solve for x
    x = 65,407,544.10/9,292.44
  6. Step 6: Final answer
    x = 7,038.79

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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.