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Finding the Fourth Proportional to 9,838.28, 13,576.74 and 5,646.56

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Solution

The fourth proportional to 9,838.28, 13,576.74 and 5,646.56 is: 7,792.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.28 : 13,576.74 = 5,646.56 : x
  2. Step 2: Convert to fraction form
    9,838.28/13,576.74 = 5,646.56/x
  3. Step 3: Cross multiply
    9,838.28x = 13,576.74 × 5,646.56
  4. Step 4: Simplify right side
    9,838.28x = 76,661,877.01
  5. Step 5: Solve for x
    x = 76,661,877.01/9,838.28
  6. Step 6: Final answer
    x = 7,792.20

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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.