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Finding the Fourth Proportional to 11,642.40, 16,075.80 and 9,309.60

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Solution

The fourth proportional to 11,642.40, 16,075.80 and 9,309.60 is: 12,854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.40 : 16,075.80 = 9,309.60 : x
  2. Step 2: Convert to fraction form
    11,642.40/16,075.80 = 9,309.60/x
  3. Step 3: Cross multiply
    11,642.40x = 16,075.80 × 9,309.60
  4. Step 4: Simplify right side
    11,642.40x = 149,659,267.68
  5. Step 5: Solve for x
    x = 149,659,267.68/11,642.40
  6. Step 6: Final answer
    x = 12,854.67

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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.