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Finding the Fourth Proportional to 9,135.41, 12,602.23 and 5,549.42

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Solution

The fourth proportional to 9,135.41, 12,602.23 and 5,549.42 is: 7,655.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.41 : 12,602.23 = 5,549.42 : x
  2. Step 2: Convert to fraction form
    9,135.41/12,602.23 = 5,549.42/x
  3. Step 3: Cross multiply
    9,135.41x = 12,602.23 × 5,549.42
  4. Step 4: Simplify right side
    9,135.41x = 69,934,990.32
  5. Step 5: Solve for x
    x = 69,934,990.32/9,135.41
  6. Step 6: Final answer
    x = 7,655.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.