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Finding the Fourth Proportional to 9,792.93, 13,514.54 and 5,316.97

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Solution

The fourth proportional to 9,792.93, 13,514.54 and 5,316.97 is: 7,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.93 : 13,514.54 = 5,316.97 : x
  2. Step 2: Convert to fraction form
    9,792.93/13,514.54 = 5,316.97/x
  3. Step 3: Cross multiply
    9,792.93x = 13,514.54 × 5,316.97
  4. Step 4: Simplify right side
    9,792.93x = 71,856,403.74
  5. Step 5: Solve for x
    x = 71,856,403.74/9,792.93
  6. Step 6: Final answer
    x = 7,337.58

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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.