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Finding the Fourth Proportional to 9,814.65, 13,538.96 and 6,825.30

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Solution

The fourth proportional to 9,814.65, 13,538.96 and 6,825.30 is: 9,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.65 : 13,538.96 = 6,825.30 : x
  2. Step 2: Convert to fraction form
    9,814.65/13,538.96 = 6,825.30/x
  3. Step 3: Cross multiply
    9,814.65x = 13,538.96 × 6,825.30
  4. Step 4: Simplify right side
    9,814.65x = 92,407,463.69
  5. Step 5: Solve for x
    x = 92,407,463.69/9,814.65
  6. Step 6: Final answer
    x = 9,415.26

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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.