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Finding the Fourth Proportional to 9,538.24, 13,164 and 5,561.60

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Solution

The fourth proportional to 9,538.24, 13,164 and 5,561.60 is: 7,675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.24 : 13,164 = 5,561.60 : x
  2. Step 2: Convert to fraction form
    9,538.24/13,164 = 5,561.60/x
  3. Step 3: Cross multiply
    9,538.24x = 13,164 × 5,561.60
  4. Step 4: Simplify right side
    9,538.24x = 73,212,902.40
  5. Step 5: Solve for x
    x = 73,212,902.40/9,538.24
  6. Step 6: Final answer
    x = 7,675.72

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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.