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Finding the Fourth Proportional to 9,316.56, 12,877.40 and 8,189.04

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Solution

The fourth proportional to 9,316.56, 12,877.40 and 8,189.04 is: 11,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.56 : 12,877.40 = 8,189.04 : x
  2. Step 2: Convert to fraction form
    9,316.56/12,877.40 = 8,189.04/x
  3. Step 3: Cross multiply
    9,316.56x = 12,877.40 × 8,189.04
  4. Step 4: Simplify right side
    9,316.56x = 105,453,543.70
  5. Step 5: Solve for x
    x = 105,453,543.70/9,316.56
  6. Step 6: Final answer
    x = 11,318.94

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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.