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Finding the Fourth Proportional to 9,448.96, 14,178.32 and 4,253.76

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Solution

The fourth proportional to 9,448.96, 14,178.32 and 4,253.76 is: 6,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.96 : 14,178.32 = 4,253.76 : x
  2. Step 2: Convert to fraction form
    9,448.96/14,178.32 = 4,253.76/x
  3. Step 3: Cross multiply
    9,448.96x = 14,178.32 × 4,253.76
  4. Step 4: Simplify right side
    9,448.96x = 60,311,170.48
  5. Step 5: Solve for x
    x = 60,311,170.48/9,448.96
  6. Step 6: Final answer
    x = 6,382.84

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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.