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Finding the Fourth Proportional to 9,423.77, 14,129.46 and 5,264.22

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Solution

The fourth proportional to 9,423.77, 14,129.46 and 5,264.22 is: 7,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.77 : 14,129.46 = 5,264.22 : x
  2. Step 2: Convert to fraction form
    9,423.77/14,129.46 = 5,264.22/x
  3. Step 3: Cross multiply
    9,423.77x = 14,129.46 × 5,264.22
  4. Step 4: Simplify right side
    9,423.77x = 74,380,534.49
  5. Step 5: Solve for x
    x = 74,380,534.49/9,423.77
  6. Step 6: Final answer
    x = 7,892.87

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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.