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Finding the Fourth Proportional to 7,004.64, 9,666.48 and 3,860.88

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Solution

The fourth proportional to 7,004.64, 9,666.48 and 3,860.88 is: 5,328.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.64 : 9,666.48 = 3,860.88 : x
  2. Step 2: Convert to fraction form
    7,004.64/9,666.48 = 3,860.88/x
  3. Step 3: Cross multiply
    7,004.64x = 9,666.48 × 3,860.88
  4. Step 4: Simplify right side
    7,004.64x = 37,321,119.30
  5. Step 5: Solve for x
    x = 37,321,119.30/7,004.64
  6. Step 6: Final answer
    x = 5,328.06

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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.