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Finding the Fourth Proportional to 9,792.60, 14,683.44 and 3,218.28

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Solution

The fourth proportional to 9,792.60, 14,683.44 and 3,218.28 is: 4,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.60 : 14,683.44 = 3,218.28 : x
  2. Step 2: Convert to fraction form
    9,792.60/14,683.44 = 3,218.28/x
  3. Step 3: Cross multiply
    9,792.60x = 14,683.44 × 3,218.28
  4. Step 4: Simplify right side
    9,792.60x = 47,255,421.28
  5. Step 5: Solve for x
    x = 47,255,421.28/9,792.60
  6. Step 6: Final answer
    x = 4,825.63

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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.