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Finding the Fourth Proportional to 9,445.71, 14,156.43 and 3,902.94

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Solution

The fourth proportional to 9,445.71, 14,156.43 and 3,902.94 is: 5,849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.71 : 14,156.43 = 3,902.94 : x
  2. Step 2: Convert to fraction form
    9,445.71/14,156.43 = 3,902.94/x
  3. Step 3: Cross multiply
    9,445.71x = 14,156.43 × 3,902.94
  4. Step 4: Simplify right side
    9,445.71x = 55,251,696.90
  5. Step 5: Solve for x
    x = 55,251,696.90/9,445.71
  6. Step 6: Final answer
    x = 5,849.40

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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.