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Finding the Fourth Proportional to 9,792.96, 13,514.34 and 5,316.72

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Solution

The fourth proportional to 9,792.96, 13,514.34 and 5,316.72 is: 7,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.96 : 13,514.34 = 5,316.72 : x
  2. Step 2: Convert to fraction form
    9,792.96/13,514.34 = 5,316.72/x
  3. Step 3: Cross multiply
    9,792.96x = 13,514.34 × 5,316.72
  4. Step 4: Simplify right side
    9,792.96x = 71,851,961.76
  5. Step 5: Solve for x
    x = 71,851,961.76/9,792.96
  6. Step 6: Final answer
    x = 7,337.10

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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.