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Finding the Fourth Proportional to 9,812.49, 13,544.16 and 5,836.02

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Solution

The fourth proportional to 9,812.49, 13,544.16 and 5,836.02 is: 8,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.49 : 13,544.16 = 5,836.02 : x
  2. Step 2: Convert to fraction form
    9,812.49/13,544.16 = 5,836.02/x
  3. Step 3: Cross multiply
    9,812.49x = 13,544.16 × 5,836.02
  4. Step 4: Simplify right side
    9,812.49x = 79,043,988.64
  5. Step 5: Solve for x
    x = 79,043,988.64/9,812.49
  6. Step 6: Final answer
    x = 8,055.45

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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.