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Finding the Fourth Proportional to 9,320, 12,861.69 and 5,128.34

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Solution

The fourth proportional to 9,320, 12,861.69 and 5,128.34 is: 7,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320 : 12,861.69 = 5,128.34 : x
  2. Step 2: Convert to fraction form
    9,320/12,861.69 = 5,128.34/x
  3. Step 3: Cross multiply
    9,320x = 12,861.69 × 5,128.34
  4. Step 4: Simplify right side
    9,320x = 65,959,119.29
  5. Step 5: Solve for x
    x = 65,959,119.29/9,320
  6. Step 6: Final answer
    x = 7,077.16

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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.