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Finding the Fourth Proportional to 9,814.18, 13,548.59 and 7,571.02

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Solution

The fourth proportional to 9,814.18, 13,548.59 and 7,571.02 is: 10,451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.18 : 13,548.59 = 7,571.02 : x
  2. Step 2: Convert to fraction form
    9,814.18/13,548.59 = 7,571.02/x
  3. Step 3: Cross multiply
    9,814.18x = 13,548.59 × 7,571.02
  4. Step 4: Simplify right side
    9,814.18x = 102,576,645.86
  5. Step 5: Solve for x
    x = 102,576,645.86/9,814.18
  6. Step 6: Final answer
    x = 10,451.88

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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.