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Finding the Fourth Proportional to 9,570.77, 14,356.46 and 7,917.82

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Solution

The fourth proportional to 9,570.77, 14,356.46 and 7,917.82 is: 11,876.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.77 : 14,356.46 = 7,917.82 : x
  2. Step 2: Convert to fraction form
    9,570.77/14,356.46 = 7,917.82/x
  3. Step 3: Cross multiply
    9,570.77x = 14,356.46 × 7,917.82
  4. Step 4: Simplify right side
    9,570.77x = 113,671,805.48
  5. Step 5: Solve for x
    x = 113,671,805.48/9,570.77
  6. Step 6: Final answer
    x = 11,876.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.