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Finding the Fourth Proportional to 9,166.49, 13,707.71 and 6,828.11

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Solution

The fourth proportional to 9,166.49, 13,707.71 and 6,828.11 is: 10,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.49 : 13,707.71 = 6,828.11 : x
  2. Step 2: Convert to fraction form
    9,166.49/13,707.71 = 6,828.11/x
  3. Step 3: Cross multiply
    9,166.49x = 13,707.71 × 6,828.11
  4. Step 4: Simplify right side
    9,166.49x = 93,597,726.13
  5. Step 5: Solve for x
    x = 93,597,726.13/9,166.49
  6. Step 6: Final answer
    x = 10,210.86

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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.