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Finding the Fourth Proportional to 9,407.40, 14,111.10 and 6,124.20

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Solution

The fourth proportional to 9,407.40, 14,111.10 and 6,124.20 is: 9,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.40 : 14,111.10 = 6,124.20 : x
  2. Step 2: Convert to fraction form
    9,407.40/14,111.10 = 6,124.20/x
  3. Step 3: Cross multiply
    9,407.40x = 14,111.10 × 6,124.20
  4. Step 4: Simplify right side
    9,407.40x = 86,419,198.62
  5. Step 5: Solve for x
    x = 86,419,198.62/9,407.40
  6. Step 6: Final answer
    x = 9,186.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.