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Finding the Fourth Proportional to 9,685.65, 13,350.23 and 6,849.36

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Solution

The fourth proportional to 9,685.65, 13,350.23 and 6,849.36 is: 9,440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.65 : 13,350.23 = 6,849.36 : x
  2. Step 2: Convert to fraction form
    9,685.65/13,350.23 = 6,849.36/x
  3. Step 3: Cross multiply
    9,685.65x = 13,350.23 × 6,849.36
  4. Step 4: Simplify right side
    9,685.65x = 91,440,497.11
  5. Step 5: Solve for x
    x = 91,440,497.11/9,685.65
  6. Step 6: Final answer
    x = 9,440.82

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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.