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Finding the Fourth Proportional to 9,186.30, 13,754.49 and 6,407.10

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Solution

The fourth proportional to 9,186.30, 13,754.49 and 6,407.10 is: 9,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.30 : 13,754.49 = 6,407.10 : x
  2. Step 2: Convert to fraction form
    9,186.30/13,754.49 = 6,407.10/x
  3. Step 3: Cross multiply
    9,186.30x = 13,754.49 × 6,407.10
  4. Step 4: Simplify right side
    9,186.30x = 88,126,392.88
  5. Step 5: Solve for x
    x = 88,126,392.88/9,186.30
  6. Step 6: Final answer
    x = 9,593.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.