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Finding the Fourth Proportional to 6,704.13, 9,246.24 and 5,582.28

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Solution

The fourth proportional to 6,704.13, 9,246.24 and 5,582.28 is: 7,699.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.13 : 9,246.24 = 5,582.28 : x
  2. Step 2: Convert to fraction form
    6,704.13/9,246.24 = 5,582.28/x
  3. Step 3: Cross multiply
    6,704.13x = 9,246.24 × 5,582.28
  4. Step 4: Simplify right side
    6,704.13x = 51,615,100.63
  5. Step 5: Solve for x
    x = 51,615,100.63/6,704.13
  6. Step 6: Final answer
    x = 7,699.00

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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.