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Finding the Fourth Proportional to 9,005.81, 12,428.21 and 5,027.09

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Solution

The fourth proportional to 9,005.81, 12,428.21 and 5,027.09 is: 6,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.81 : 12,428.21 = 5,027.09 : x
  2. Step 2: Convert to fraction form
    9,005.81/12,428.21 = 5,027.09/x
  3. Step 3: Cross multiply
    9,005.81x = 12,428.21 × 5,027.09
  4. Step 4: Simplify right side
    9,005.81x = 62,477,705.07
  5. Step 5: Solve for x
    x = 62,477,705.07/9,005.81
  6. Step 6: Final answer
    x = 6,937.49

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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.