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Finding the Fourth Proportional to 6,005.66, 9,008.49 and 5,120.06

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Solution

The fourth proportional to 6,005.66, 9,008.49 and 5,120.06 is: 7,680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.66 : 9,008.49 = 5,120.06 : x
  2. Step 2: Convert to fraction form
    6,005.66/9,008.49 = 5,120.06/x
  3. Step 3: Cross multiply
    6,005.66x = 9,008.49 × 5,120.06
  4. Step 4: Simplify right side
    6,005.66x = 46,124,009.31
  5. Step 5: Solve for x
    x = 46,124,009.31/6,005.66
  6. Step 6: Final answer
    x = 7,680.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.