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Finding the Fourth Proportional to 9,574.52, 14,361.81 and 2,911.10

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Solution

The fourth proportional to 9,574.52, 14,361.81 and 2,911.10 is: 4,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.52 : 14,361.81 = 2,911.10 : x
  2. Step 2: Convert to fraction form
    9,574.52/14,361.81 = 2,911.10/x
  3. Step 3: Cross multiply
    9,574.52x = 14,361.81 × 2,911.10
  4. Step 4: Simplify right side
    9,574.52x = 41,808,593.28
  5. Step 5: Solve for x
    x = 41,808,593.28/9,574.52
  6. Step 6: Final answer
    x = 4,366.65

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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.