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Finding the Fourth Proportional to 9,427.20, 14,140.80 and 8,017.80

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Solution

The fourth proportional to 9,427.20, 14,140.80 and 8,017.80 is: 12,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.20 : 14,140.80 = 8,017.80 : x
  2. Step 2: Convert to fraction form
    9,427.20/14,140.80 = 8,017.80/x
  3. Step 3: Cross multiply
    9,427.20x = 14,140.80 × 8,017.80
  4. Step 4: Simplify right side
    9,427.20x = 113,378,106.24
  5. Step 5: Solve for x
    x = 113,378,106.24/9,427.20
  6. Step 6: Final answer
    x = 12,026.70

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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.