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Finding the Fourth Proportional to 9,984.72, 13,781.76 and 5,792.16

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Solution

The fourth proportional to 9,984.72, 13,781.76 and 5,792.16 is: 7,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.72 : 13,781.76 = 5,792.16 : x
  2. Step 2: Convert to fraction form
    9,984.72/13,781.76 = 5,792.16/x
  3. Step 3: Cross multiply
    9,984.72x = 13,781.76 × 5,792.16
  4. Step 4: Simplify right side
    9,984.72x = 79,826,159.00
  5. Step 5: Solve for x
    x = 79,826,159.00/9,984.72
  6. Step 6: Final answer
    x = 7,994.83

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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.