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Finding the Fourth Proportional to 9,411.84, 14,114.88 and 3,569.28

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Solution

The fourth proportional to 9,411.84, 14,114.88 and 3,569.28 is: 5,352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.84 : 14,114.88 = 3,569.28 : x
  2. Step 2: Convert to fraction form
    9,411.84/14,114.88 = 3,569.28/x
  3. Step 3: Cross multiply
    9,411.84x = 14,114.88 × 3,569.28
  4. Step 4: Simplify right side
    9,411.84x = 50,379,958.89
  5. Step 5: Solve for x
    x = 50,379,958.89/9,411.84
  6. Step 6: Final answer
    x = 5,352.83

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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.