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Finding the Fourth Proportional to 9,405.56, 14,108.54 and 3,165.76

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Solution

The fourth proportional to 9,405.56, 14,108.54 and 3,165.76 is: 4,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.56 : 14,108.54 = 3,165.76 : x
  2. Step 2: Convert to fraction form
    9,405.56/14,108.54 = 3,165.76/x
  3. Step 3: Cross multiply
    9,405.56x = 14,108.54 × 3,165.76
  4. Step 4: Simplify right side
    9,405.56x = 44,664,251.59
  5. Step 5: Solve for x
    x = 44,664,251.59/9,405.56
  6. Step 6: Final answer
    x = 4,748.71

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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.