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Finding the Fourth Proportional to 9,793.16, 13,514.18 and 5,316.81

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Solution

The fourth proportional to 9,793.16, 13,514.18 and 5,316.81 is: 7,336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.16 : 13,514.18 = 5,316.81 : x
  2. Step 2: Convert to fraction form
    9,793.16/13,514.18 = 5,316.81/x
  3. Step 3: Cross multiply
    9,793.16x = 13,514.18 × 5,316.81
  4. Step 4: Simplify right side
    9,793.16x = 71,852,327.37
  5. Step 5: Solve for x
    x = 71,852,327.37/9,793.16
  6. Step 6: Final answer
    x = 7,336.99

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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.