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Finding the Fourth Proportional to 9,006.96, 12,429.60 and 5,028.84

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Solution

The fourth proportional to 9,006.96, 12,429.60 and 5,028.84 is: 6,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.96 : 12,429.60 = 5,028.84 : x
  2. Step 2: Convert to fraction form
    9,006.96/12,429.60 = 5,028.84/x
  3. Step 3: Cross multiply
    9,006.96x = 12,429.60 × 5,028.84
  4. Step 4: Simplify right side
    9,006.96x = 62,506,469.66
  5. Step 5: Solve for x
    x = 62,506,469.66/9,006.96
  6. Step 6: Final answer
    x = 6,939.80

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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.