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Finding the Fourth Proportional to 9,245, 12,758.42 and 5,053.52

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Solution

The fourth proportional to 9,245, 12,758.42 and 5,053.52 is: 6,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245 : 12,758.42 = 5,053.52 : x
  2. Step 2: Convert to fraction form
    9,245/12,758.42 = 5,053.52/x
  3. Step 3: Cross multiply
    9,245x = 12,758.42 × 5,053.52
  4. Step 4: Simplify right side
    9,245x = 64,474,905.37
  5. Step 5: Solve for x
    x = 64,474,905.37/9,245
  6. Step 6: Final answer
    x = 6,974.03

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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.