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Finding the Fourth Proportional to 9,305.98, 13,962 and 4,376.11

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Solution

The fourth proportional to 9,305.98, 13,962 and 4,376.11 is: 6,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.98 : 13,962 = 4,376.11 : x
  2. Step 2: Convert to fraction form
    9,305.98/13,962 = 4,376.11/x
  3. Step 3: Cross multiply
    9,305.98x = 13,962 × 4,376.11
  4. Step 4: Simplify right side
    9,305.98x = 61,099,247.82
  5. Step 5: Solve for x
    x = 61,099,247.82/9,305.98
  6. Step 6: Final answer
    x = 6,565.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.