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Finding the Fourth Proportional to 9,076.54, 12,525.16 and 5,097.82

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Solution

The fourth proportional to 9,076.54, 12,525.16 and 5,097.82 is: 7,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.54 : 12,525.16 = 5,097.82 : x
  2. Step 2: Convert to fraction form
    9,076.54/12,525.16 = 5,097.82/x
  3. Step 3: Cross multiply
    9,076.54x = 12,525.16 × 5,097.82
  4. Step 4: Simplify right side
    9,076.54x = 63,851,011.15
  5. Step 5: Solve for x
    x = 63,851,011.15/9,076.54
  6. Step 6: Final answer
    x = 7,034.73

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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.