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Finding the Fourth Proportional to 9,548.40, 14,298 and 8,170.56

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Solution

The fourth proportional to 9,548.40, 14,298 and 8,170.56 is: 12,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.40 : 14,298 = 8,170.56 : x
  2. Step 2: Convert to fraction form
    9,548.40/14,298 = 8,170.56/x
  3. Step 3: Cross multiply
    9,548.40x = 14,298 × 8,170.56
  4. Step 4: Simplify right side
    9,548.40x = 116,822,666.88
  5. Step 5: Solve for x
    x = 116,822,666.88/9,548.40
  6. Step 6: Final answer
    x = 12,234.79

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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.