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Finding the Fourth Proportional to 9,267.56, 13,897.90 and 3,026.12

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Solution

The fourth proportional to 9,267.56, 13,897.90 and 3,026.12 is: 4,538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.56 : 13,897.90 = 3,026.12 : x
  2. Step 2: Convert to fraction form
    9,267.56/13,897.90 = 3,026.12/x
  3. Step 3: Cross multiply
    9,267.56x = 13,897.90 × 3,026.12
  4. Step 4: Simplify right side
    9,267.56x = 42,056,713.15
  5. Step 5: Solve for x
    x = 42,056,713.15/9,267.56
  6. Step 6: Final answer
    x = 4,538.06

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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.