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Finding the Fourth Proportional to 9,508.60, 13,122.46 and 5,316.84

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Solution

The fourth proportional to 9,508.60, 13,122.46 and 5,316.84 is: 7,337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.60 : 13,122.46 = 5,316.84 : x
  2. Step 2: Convert to fraction form
    9,508.60/13,122.46 = 5,316.84/x
  3. Step 3: Cross multiply
    9,508.60x = 13,122.46 × 5,316.84
  4. Step 4: Simplify right side
    9,508.60x = 69,770,020.23
  5. Step 5: Solve for x
    x = 69,770,020.23/9,508.60
  6. Step 6: Final answer
    x = 7,337.57

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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.