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Finding the Fourth Proportional to 9,838.12, 14,757.02 and 2,912.04

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Solution

The fourth proportional to 9,838.12, 14,757.02 and 2,912.04 is: 4,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.12 : 14,757.02 = 2,912.04 : x
  2. Step 2: Convert to fraction form
    9,838.12/14,757.02 = 2,912.04/x
  3. Step 3: Cross multiply
    9,838.12x = 14,757.02 × 2,912.04
  4. Step 4: Simplify right side
    9,838.12x = 42,973,032.52
  5. Step 5: Solve for x
    x = 42,973,032.52/9,838.12
  6. Step 6: Final answer
    x = 4,368.01

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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.