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Finding the Fourth Proportional to 9,553.70, 14,331.83 and 2,980.55

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Solution

The fourth proportional to 9,553.70, 14,331.83 and 2,980.55 is: 4,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.70 : 14,331.83 = 2,980.55 : x
  2. Step 2: Convert to fraction form
    9,553.70/14,331.83 = 2,980.55/x
  3. Step 3: Cross multiply
    9,553.70x = 14,331.83 × 2,980.55
  4. Step 4: Simplify right side
    9,553.70x = 42,716,649.34
  5. Step 5: Solve for x
    x = 42,716,649.34/9,553.70
  6. Step 6: Final answer
    x = 4,471.22

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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.