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Finding the Fourth Proportional to 6,701.13, 9,239.06 and 5,566.59

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Solution

The fourth proportional to 6,701.13, 9,239.06 and 5,566.59 is: 7,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.13 : 9,239.06 = 5,566.59 : x
  2. Step 2: Convert to fraction form
    6,701.13/9,239.06 = 5,566.59/x
  3. Step 3: Cross multiply
    6,701.13x = 9,239.06 × 5,566.59
  4. Step 4: Simplify right side
    6,701.13x = 51,430,072.92
  5. Step 5: Solve for x
    x = 51,430,072.92/6,701.13
  6. Step 6: Final answer
    x = 7,674.84

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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.