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Finding the Fourth Proportional to 9,472.83, 13,072.41 and 5,440.32

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Solution

The fourth proportional to 9,472.83, 13,072.41 and 5,440.32 is: 7,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.83 : 13,072.41 = 5,440.32 : x
  2. Step 2: Convert to fraction form
    9,472.83/13,072.41 = 5,440.32/x
  3. Step 3: Cross multiply
    9,472.83x = 13,072.41 × 5,440.32
  4. Step 4: Simplify right side
    9,472.83x = 71,118,093.57
  5. Step 5: Solve for x
    x = 71,118,093.57/9,472.83
  6. Step 6: Final answer
    x = 7,507.59

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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.