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Finding the Fourth Proportional to 9,473.44, 13,075.32 and 5,494.72

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Solution

The fourth proportional to 9,473.44, 13,075.32 and 5,494.72 is: 7,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.44 : 13,075.32 = 5,494.72 : x
  2. Step 2: Convert to fraction form
    9,473.44/13,075.32 = 5,494.72/x
  3. Step 3: Cross multiply
    9,473.44x = 13,075.32 × 5,494.72
  4. Step 4: Simplify right side
    9,473.44x = 71,845,222.31
  5. Step 5: Solve for x
    x = 71,845,222.31/9,473.44
  6. Step 6: Final answer
    x = 7,583.86

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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.