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Finding the Fourth Proportional to 9,721.65, 13,424.76 and 6,186

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Solution

The fourth proportional to 9,721.65, 13,424.76 and 6,186 is: 8,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.65 : 13,424.76 = 6,186 : x
  2. Step 2: Convert to fraction form
    9,721.65/13,424.76 = 6,186/x
  3. Step 3: Cross multiply
    9,721.65x = 13,424.76 × 6,186
  4. Step 4: Simplify right side
    9,721.65x = 83,045,565.36
  5. Step 5: Solve for x
    x = 83,045,565.36/9,721.65
  6. Step 6: Final answer
    x = 8,542.33

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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.