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Finding the Fourth Proportional to 9,792.43, 14,674.06 and 5,411.14

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Solution

The fourth proportional to 9,792.43, 14,674.06 and 5,411.14 is: 8,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.43 : 14,674.06 = 5,411.14 : x
  2. Step 2: Convert to fraction form
    9,792.43/14,674.06 = 5,411.14/x
  3. Step 3: Cross multiply
    9,792.43x = 14,674.06 × 5,411.14
  4. Step 4: Simplify right side
    9,792.43x = 79,403,393.03
  5. Step 5: Solve for x
    x = 79,403,393.03/9,792.43
  6. Step 6: Final answer
    x = 8,108.65

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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.