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Finding the Fourth Proportional to 9,662.09, 13,330.65 and 5,412.57

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Solution

The fourth proportional to 9,662.09, 13,330.65 and 5,412.57 is: 7,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.09 : 13,330.65 = 5,412.57 : x
  2. Step 2: Convert to fraction form
    9,662.09/13,330.65 = 5,412.57/x
  3. Step 3: Cross multiply
    9,662.09x = 13,330.65 × 5,412.57
  4. Step 4: Simplify right side
    9,662.09x = 72,153,106.34
  5. Step 5: Solve for x
    x = 72,153,106.34/9,662.09
  6. Step 6: Final answer
    x = 7,467.65

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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.