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Finding the Fourth Proportional to 9,152.19, 13,739.50 and 6,034.80

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Solution

The fourth proportional to 9,152.19, 13,739.50 and 6,034.80 is: 9,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.19 : 13,739.50 = 6,034.80 : x
  2. Step 2: Convert to fraction form
    9,152.19/13,739.50 = 6,034.80/x
  3. Step 3: Cross multiply
    9,152.19x = 13,739.50 × 6,034.80
  4. Step 4: Simplify right side
    9,152.19x = 82,915,142.14
  5. Step 5: Solve for x
    x = 82,915,142.14/9,152.19
  6. Step 6: Final answer
    x = 9,059.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.