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Finding the Fourth Proportional to 9,792.60, 14,690.76 and 3,220.68

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Solution

The fourth proportional to 9,792.60, 14,690.76 and 3,220.68 is: 4,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.60 : 14,690.76 = 3,220.68 : x
  2. Step 2: Convert to fraction form
    9,792.60/14,690.76 = 3,220.68/x
  3. Step 3: Cross multiply
    9,792.60x = 14,690.76 × 3,220.68
  4. Step 4: Simplify right side
    9,792.60x = 47,314,236.92
  5. Step 5: Solve for x
    x = 47,314,236.92/9,792.60
  6. Step 6: Final answer
    x = 4,831.63

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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.