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Finding the Fourth Proportional to 9,319.72, 12,861.84 and 5,128.24

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Solution

The fourth proportional to 9,319.72, 12,861.84 and 5,128.24 is: 7,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.72 : 12,861.84 = 5,128.24 : x
  2. Step 2: Convert to fraction form
    9,319.72/12,861.84 = 5,128.24/x
  3. Step 3: Cross multiply
    9,319.72x = 12,861.84 × 5,128.24
  4. Step 4: Simplify right side
    9,319.72x = 65,958,602.36
  5. Step 5: Solve for x
    x = 65,958,602.36/9,319.72
  6. Step 6: Final answer
    x = 7,077.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.