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Finding the Fourth Proportional to 9,319.72, 12,861.32 and 5,128

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Solution

The fourth proportional to 9,319.72, 12,861.32 and 5,128 is: 7,076.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.72 : 12,861.32 = 5,128 : x
  2. Step 2: Convert to fraction form
    9,319.72/12,861.32 = 5,128/x
  3. Step 3: Cross multiply
    9,319.72x = 12,861.32 × 5,128
  4. Step 4: Simplify right side
    9,319.72x = 65,952,848.96
  5. Step 5: Solve for x
    x = 65,952,848.96/9,319.72
  6. Step 6: Final answer
    x = 7,076.70

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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.