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Finding the Fourth Proportional to 9,553.19, 13,189.82 and 7,311.06

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Solution

The fourth proportional to 9,553.19, 13,189.82 and 7,311.06 is: 10,094.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.19 : 13,189.82 = 7,311.06 : x
  2. Step 2: Convert to fraction form
    9,553.19/13,189.82 = 7,311.06/x
  3. Step 3: Cross multiply
    9,553.19x = 13,189.82 × 7,311.06
  4. Step 4: Simplify right side
    9,553.19x = 96,431,499.46
  5. Step 5: Solve for x
    x = 96,431,499.46/9,553.19
  6. Step 6: Final answer
    x = 10,094.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.