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Finding the Fourth Proportional to 6,029.99, 9,045.68 and 5,409.89

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Solution

The fourth proportional to 6,029.99, 9,045.68 and 5,409.89 is: 8,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.99 : 9,045.68 = 5,409.89 : x
  2. Step 2: Convert to fraction form
    6,029.99/9,045.68 = 5,409.89/x
  3. Step 3: Cross multiply
    6,029.99x = 9,045.68 × 5,409.89
  4. Step 4: Simplify right side
    6,029.99x = 48,936,095.42
  5. Step 5: Solve for x
    x = 48,936,095.42/6,029.99
  6. Step 6: Final answer
    x = 8,115.45

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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.