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Finding the Fourth Proportional to 9,814.68, 13,549.28 and 7,571.52

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Solution

The fourth proportional to 9,814.68, 13,549.28 and 7,571.52 is: 10,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.68 : 13,549.28 = 7,571.52 : x
  2. Step 2: Convert to fraction form
    9,814.68/13,549.28 = 7,571.52/x
  3. Step 3: Cross multiply
    9,814.68x = 13,549.28 × 7,571.52
  4. Step 4: Simplify right side
    9,814.68x = 102,588,606.65
  5. Step 5: Solve for x
    x = 102,588,606.65/9,814.68
  6. Step 6: Final answer
    x = 10,452.57

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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.