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Finding the Fourth Proportional to 9,726, 13,421.08 and 5,475.71

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Solution

The fourth proportional to 9,726, 13,421.08 and 5,475.71 is: 7,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726 : 13,421.08 = 5,475.71 : x
  2. Step 2: Convert to fraction form
    9,726/13,421.08 = 5,475.71/x
  3. Step 3: Cross multiply
    9,726x = 13,421.08 × 5,475.71
  4. Step 4: Simplify right side
    9,726x = 73,489,861.17
  5. Step 5: Solve for x
    x = 73,489,861.17/9,726
  6. Step 6: Final answer
    x = 7,556.02

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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.