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Finding the Fourth Proportional to 9,076.96, 12,523.06 and 5,097.52

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Solution

The fourth proportional to 9,076.96, 12,523.06 and 5,097.52 is: 7,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.96 : 12,523.06 = 5,097.52 : x
  2. Step 2: Convert to fraction form
    9,076.96/12,523.06 = 5,097.52/x
  3. Step 3: Cross multiply
    9,076.96x = 12,523.06 × 5,097.52
  4. Step 4: Simplify right side
    9,076.96x = 63,836,548.81
  5. Step 5: Solve for x
    x = 63,836,548.81/9,076.96
  6. Step 6: Final answer
    x = 7,032.81

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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.