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Finding the Fourth Proportional to 9,905.49, 13,660.85 and 6,128.06

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Solution

The fourth proportional to 9,905.49, 13,660.85 and 6,128.06 is: 8,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.49 : 13,660.85 = 6,128.06 : x
  2. Step 2: Convert to fraction form
    9,905.49/13,660.85 = 6,128.06/x
  3. Step 3: Cross multiply
    9,905.49x = 13,660.85 × 6,128.06
  4. Step 4: Simplify right side
    9,905.49x = 83,714,455.47
  5. Step 5: Solve for x
    x = 83,714,455.47/9,905.49
  6. Step 6: Final answer
    x = 8,451.32

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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.