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Finding the Fourth Proportional to 9,493.64, 13,101.20 and 5,301.90

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Solution

The fourth proportional to 9,493.64, 13,101.20 and 5,301.90 is: 7,316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.64 : 13,101.20 = 5,301.90 : x
  2. Step 2: Convert to fraction form
    9,493.64/13,101.20 = 5,301.90/x
  3. Step 3: Cross multiply
    9,493.64x = 13,101.20 × 5,301.90
  4. Step 4: Simplify right side
    9,493.64x = 69,461,252.28
  5. Step 5: Solve for x
    x = 69,461,252.28/9,493.64
  6. Step 6: Final answer
    x = 7,316.61

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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.