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Finding the Fourth Proportional to 9,715.77, 13,409.89 and 6,178.29

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Solution

The fourth proportional to 9,715.77, 13,409.89 and 6,178.29 is: 8,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.77 : 13,409.89 = 6,178.29 : x
  2. Step 2: Convert to fraction form
    9,715.77/13,409.89 = 6,178.29/x
  3. Step 3: Cross multiply
    9,715.77x = 13,409.89 × 6,178.29
  4. Step 4: Simplify right side
    9,715.77x = 82,850,189.29
  5. Step 5: Solve for x
    x = 82,850,189.29/9,715.77
  6. Step 6: Final answer
    x = 8,527.39

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Why These Related Problems?

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