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Finding the Fourth Proportional to 6,945.32, 9,582.17 and 3,959.00

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Solution

The fourth proportional to 6,945.32, 9,582.17 and 3,959.00 is: 5,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.32 : 9,582.17 = 3,959.00 : x
  2. Step 2: Convert to fraction form
    6,945.32/9,582.17 = 3,959.00/x
  3. Step 3: Cross multiply
    6,945.32x = 9,582.17 × 3,959.00
  4. Step 4: Simplify right side
    6,945.32x = 37,935,779.26
  5. Step 5: Solve for x
    x = 37,935,779.26/6,945.32
  6. Step 6: Final answer
    x = 5,462.06

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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.