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Finding the Fourth Proportional to 9,666.30, 14,499.84 and 3,003.48

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Solution

The fourth proportional to 9,666.30, 14,499.84 and 3,003.48 is: 4,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.30 : 14,499.84 = 3,003.48 : x
  2. Step 2: Convert to fraction form
    9,666.30/14,499.84 = 3,003.48/x
  3. Step 3: Cross multiply
    9,666.30x = 14,499.84 × 3,003.48
  4. Step 4: Simplify right side
    9,666.30x = 43,549,979.44
  5. Step 5: Solve for x
    x = 43,549,979.44/9,666.30
  6. Step 6: Final answer
    x = 4,505.34

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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.