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Finding the Fourth Proportional to 9,445, 14,165.28 and 3,892.84

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Solution

The fourth proportional to 9,445, 14,165.28 and 3,892.84 is: 5,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445 : 14,165.28 = 3,892.84 : x
  2. Step 2: Convert to fraction form
    9,445/14,165.28 = 3,892.84/x
  3. Step 3: Cross multiply
    9,445x = 14,165.28 × 3,892.84
  4. Step 4: Simplify right side
    9,445x = 55,143,168.60
  5. Step 5: Solve for x
    x = 55,143,168.60/9,445
  6. Step 6: Final answer
    x = 5,838.35

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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.