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Finding the Fourth Proportional to 9,292.53, 12,817.86 and 5,513.02

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Solution

The fourth proportional to 9,292.53, 12,817.86 and 5,513.02 is: 7,604.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.53 : 12,817.86 = 5,513.02 : x
  2. Step 2: Convert to fraction form
    9,292.53/12,817.86 = 5,513.02/x
  3. Step 3: Cross multiply
    9,292.53x = 12,817.86 × 5,513.02
  4. Step 4: Simplify right side
    9,292.53x = 70,665,164.36
  5. Step 5: Solve for x
    x = 70,665,164.36/9,292.53
  6. Step 6: Final answer
    x = 7,604.51

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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.