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Finding the Fourth Proportional to 9,309.60, 13,955.76 and 5,412.96

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Solution

The fourth proportional to 9,309.60, 13,955.76 and 5,412.96 is: 8,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.60 : 13,955.76 = 5,412.96 : x
  2. Step 2: Convert to fraction form
    9,309.60/13,955.76 = 5,412.96/x
  3. Step 3: Cross multiply
    9,309.60x = 13,955.76 × 5,412.96
  4. Step 4: Simplify right side
    9,309.60x = 75,541,970.65
  5. Step 5: Solve for x
    x = 75,541,970.65/9,309.60
  6. Step 6: Final answer
    x = 8,114.42

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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.