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Finding the Fourth Proportional to 9,453.63, 13,045.46 and 5,474.46

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Solution

The fourth proportional to 9,453.63, 13,045.46 and 5,474.46 is: 7,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.63 : 13,045.46 = 5,474.46 : x
  2. Step 2: Convert to fraction form
    9,453.63/13,045.46 = 5,474.46/x
  3. Step 3: Cross multiply
    9,453.63x = 13,045.46 × 5,474.46
  4. Step 4: Simplify right side
    9,453.63x = 71,416,821.58
  5. Step 5: Solve for x
    x = 71,416,821.58/9,453.63
  6. Step 6: Final answer
    x = 7,554.43

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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.