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Finding the Fourth Proportional to 9,538.94, 14,311.42 and 4,278.46

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Solution

The fourth proportional to 9,538.94, 14,311.42 and 4,278.46 is: 6,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.94 : 14,311.42 = 4,278.46 : x
  2. Step 2: Convert to fraction form
    9,538.94/14,311.42 = 4,278.46/x
  3. Step 3: Cross multiply
    9,538.94x = 14,311.42 × 4,278.46
  4. Step 4: Simplify right side
    9,538.94x = 61,230,868.35
  5. Step 5: Solve for x
    x = 61,230,868.35/9,538.94
  6. Step 6: Final answer
    x = 6,419.05

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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.