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Finding the Fourth Proportional to 9,189.34, 12,681.03 and 5,651.98

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Solution

The fourth proportional to 9,189.34, 12,681.03 and 5,651.98 is: 7,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.34 : 12,681.03 = 5,651.98 : x
  2. Step 2: Convert to fraction form
    9,189.34/12,681.03 = 5,651.98/x
  3. Step 3: Cross multiply
    9,189.34x = 12,681.03 × 5,651.98
  4. Step 4: Simplify right side
    9,189.34x = 71,672,927.94
  5. Step 5: Solve for x
    x = 71,672,927.94/9,189.34
  6. Step 6: Final answer
    x = 7,799.57

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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.