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Finding the Fourth Proportional to 9,844, 13,584.72 and 5,428

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Solution

The fourth proportional to 9,844, 13,584.72 and 5,428 is: 7,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844 : 13,584.72 = 5,428 : x
  2. Step 2: Convert to fraction form
    9,844/13,584.72 = 5,428/x
  3. Step 3: Cross multiply
    9,844x = 13,584.72 × 5,428
  4. Step 4: Simplify right side
    9,844x = 73,737,860.16
  5. Step 5: Solve for x
    x = 73,737,860.16/9,844
  6. Step 6: Final answer
    x = 7,490.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.