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Finding the Fourth Proportional to 9,278.31, 12,804.23 and 5,244.32

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Solution

The fourth proportional to 9,278.31, 12,804.23 and 5,244.32 is: 7,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.31 : 12,804.23 = 5,244.32 : x
  2. Step 2: Convert to fraction form
    9,278.31/12,804.23 = 5,244.32/x
  3. Step 3: Cross multiply
    9,278.31x = 12,804.23 × 5,244.32
  4. Step 4: Simplify right side
    9,278.31x = 67,149,389.23
  5. Step 5: Solve for x
    x = 67,149,389.23/9,278.31
  6. Step 6: Final answer
    x = 7,237.24

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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.