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Finding the Fourth Proportional to 9,192.46, 13,771.28 and 5,433

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Solution

The fourth proportional to 9,192.46, 13,771.28 and 5,433 is: 8,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.46 : 13,771.28 = 5,433 : x
  2. Step 2: Convert to fraction form
    9,192.46/13,771.28 = 5,433/x
  3. Step 3: Cross multiply
    9,192.46x = 13,771.28 × 5,433
  4. Step 4: Simplify right side
    9,192.46x = 74,819,364.24
  5. Step 5: Solve for x
    x = 74,819,364.24/9,192.46
  6. Step 6: Final answer
    x = 8,139.21

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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.