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Finding the Fourth Proportional to 9,128.94, 13,695.69 and 4,967.82

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Solution

The fourth proportional to 9,128.94, 13,695.69 and 4,967.82 is: 7,452.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.94 : 13,695.69 = 4,967.82 : x
  2. Step 2: Convert to fraction form
    9,128.94/13,695.69 = 4,967.82/x
  3. Step 3: Cross multiply
    9,128.94x = 13,695.69 × 4,967.82
  4. Step 4: Simplify right side
    9,128.94x = 68,037,722.70
  5. Step 5: Solve for x
    x = 68,037,722.70/9,128.94
  6. Step 6: Final answer
    x = 7,452.97

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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.