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Finding the Fourth Proportional to 9,320, 12,861.60 and 5,128.16

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Solution

The fourth proportional to 9,320, 12,861.60 and 5,128.16 is: 7,076.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320 : 12,861.60 = 5,128.16 : x
  2. Step 2: Convert to fraction form
    9,320/12,861.60 = 5,128.16/x
  3. Step 3: Cross multiply
    9,320x = 12,861.60 × 5,128.16
  4. Step 4: Simplify right side
    9,320x = 65,956,342.66
  5. Step 5: Solve for x
    x = 65,956,342.66/9,320
  6. Step 6: Final answer
    x = 7,076.86

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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.