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Finding the Fourth Proportional to 9,316.96, 12,853.68 and 5,959

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Solution

The fourth proportional to 9,316.96, 12,853.68 and 5,959 is: 8,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.96 : 12,853.68 = 5,959 : x
  2. Step 2: Convert to fraction form
    9,316.96/12,853.68 = 5,959/x
  3. Step 3: Cross multiply
    9,316.96x = 12,853.68 × 5,959
  4. Step 4: Simplify right side
    9,316.96x = 76,595,079.12
  5. Step 5: Solve for x
    x = 76,595,079.12/9,316.96
  6. Step 6: Final answer
    x = 8,221.04

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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.