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Finding the Fourth Proportional to 9,976.69, 14,945.88 and 5,580.82

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Solution

The fourth proportional to 9,976.69, 14,945.88 and 5,580.82 is: 8,360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.69 : 14,945.88 = 5,580.82 : x
  2. Step 2: Convert to fraction form
    9,976.69/14,945.88 = 5,580.82/x
  3. Step 3: Cross multiply
    9,976.69x = 14,945.88 × 5,580.82
  4. Step 4: Simplify right side
    9,976.69x = 83,410,266.02
  5. Step 5: Solve for x
    x = 83,410,266.02/9,976.69
  6. Step 6: Final answer
    x = 8,360.51

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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.