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Finding the Fourth Proportional to 9,792.72, 14,690.16 and 3,553.20

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Solution

The fourth proportional to 9,792.72, 14,690.16 and 3,553.20 is: 5,330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.72 : 14,690.16 = 3,553.20 : x
  2. Step 2: Convert to fraction form
    9,792.72/14,690.16 = 3,553.20/x
  3. Step 3: Cross multiply
    9,792.72x = 14,690.16 × 3,553.20
  4. Step 4: Simplify right side
    9,792.72x = 52,197,076.51
  5. Step 5: Solve for x
    x = 52,197,076.51/9,792.72
  6. Step 6: Final answer
    x = 5,330.19

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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.