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Finding the Fourth Proportional to 9,288.51, 12,817.76 and 5,096.49

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Solution

The fourth proportional to 9,288.51, 12,817.76 and 5,096.49 is: 7,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.51 : 12,817.76 = 5,096.49 : x
  2. Step 2: Convert to fraction form
    9,288.51/12,817.76 = 5,096.49/x
  3. Step 3: Cross multiply
    9,288.51x = 12,817.76 × 5,096.49
  4. Step 4: Simplify right side
    9,288.51x = 65,325,560.18
  5. Step 5: Solve for x
    x = 65,325,560.18/9,288.51
  6. Step 6: Final answer
    x = 7,032.94

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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.