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Finding the Fourth Proportional to 9,342.64, 14,013.96 and 2,768.32

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Solution

The fourth proportional to 9,342.64, 14,013.96 and 2,768.32 is: 4,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.64 : 14,013.96 = 2,768.32 : x
  2. Step 2: Convert to fraction form
    9,342.64/14,013.96 = 2,768.32/x
  3. Step 3: Cross multiply
    9,342.64x = 14,013.96 × 2,768.32
  4. Step 4: Simplify right side
    9,342.64x = 38,795,125.75
  5. Step 5: Solve for x
    x = 38,795,125.75/9,342.64
  6. Step 6: Final answer
    x = 4,152.48

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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.