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Finding the Fourth Proportional to 6,666.30, 9,201.60 and 4,309.20

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Solution

The fourth proportional to 6,666.30, 9,201.60 and 4,309.20 is: 5,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.30 : 9,201.60 = 4,309.20 : x
  2. Step 2: Convert to fraction form
    6,666.30/9,201.60 = 4,309.20/x
  3. Step 3: Cross multiply
    6,666.30x = 9,201.60 × 4,309.20
  4. Step 4: Simplify right side
    6,666.30x = 39,651,534.72
  5. Step 5: Solve for x
    x = 39,651,534.72/6,666.30
  6. Step 6: Final answer
    x = 5,948.06

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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.