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Finding the Fourth Proportional to 9,278.52, 12,804.40 and 5,029.60

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Solution

The fourth proportional to 9,278.52, 12,804.40 and 5,029.60 is: 6,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.52 : 12,804.40 = 5,029.60 : x
  2. Step 2: Convert to fraction form
    9,278.52/12,804.40 = 5,029.60/x
  3. Step 3: Cross multiply
    9,278.52x = 12,804.40 × 5,029.60
  4. Step 4: Simplify right side
    9,278.52x = 64,401,010.24
  5. Step 5: Solve for x
    x = 64,401,010.24/9,278.52
  6. Step 6: Final answer
    x = 6,940.87

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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.