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Finding the Fourth Proportional to 9,454.63, 13,046.83 and 5,475.46

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Solution

The fourth proportional to 9,454.63, 13,046.83 and 5,475.46 is: 7,555.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.63 : 13,046.83 = 5,475.46 : x
  2. Step 2: Convert to fraction form
    9,454.63/13,046.83 = 5,475.46/x
  3. Step 3: Cross multiply
    9,454.63x = 13,046.83 × 5,475.46
  4. Step 4: Simplify right side
    9,454.63x = 71,437,395.79
  5. Step 5: Solve for x
    x = 71,437,395.79/9,454.63
  6. Step 6: Final answer
    x = 7,555.81

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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.