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Finding the Fourth Proportional to 6,043.20, 9,072 and 4,409.28

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Solution

The fourth proportional to 6,043.20, 9,072 and 4,409.28 is: 6,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043.20 : 9,072 = 4,409.28 : x
  2. Step 2: Convert to fraction form
    6,043.20/9,072 = 4,409.28/x
  3. Step 3: Cross multiply
    6,043.20x = 9,072 × 4,409.28
  4. Step 4: Simplify right side
    6,043.20x = 40,000,988.16
  5. Step 5: Solve for x
    x = 40,000,988.16/6,043.20
  6. Step 6: Final answer
    x = 6,619.17

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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.