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Finding the Fourth Proportional to 9,452.64, 13,042.84 and 6,094.80

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Solution

The fourth proportional to 9,452.64, 13,042.84 and 6,094.80 is: 8,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.64 : 13,042.84 = 6,094.80 : x
  2. Step 2: Convert to fraction form
    9,452.64/13,042.84 = 6,094.80/x
  3. Step 3: Cross multiply
    9,452.64x = 13,042.84 × 6,094.80
  4. Step 4: Simplify right side
    9,452.64x = 79,493,501.23
  5. Step 5: Solve for x
    x = 79,493,501.23/9,452.64
  6. Step 6: Final answer
    x = 8,409.66

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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.