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Finding the Fourth Proportional to 9,580.83, 14,353.42 and 5,201.97

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Solution

The fourth proportional to 9,580.83, 14,353.42 and 5,201.97 is: 7,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.83 : 14,353.42 = 5,201.97 : x
  2. Step 2: Convert to fraction form
    9,580.83/14,353.42 = 5,201.97/x
  3. Step 3: Cross multiply
    9,580.83x = 14,353.42 × 5,201.97
  4. Step 4: Simplify right side
    9,580.83x = 74,666,060.24
  5. Step 5: Solve for x
    x = 74,666,060.24/9,580.83
  6. Step 6: Final answer
    x = 7,793.28

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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.