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Finding the Fourth Proportional to 6,973.38, 9,564.26 and 6,186.06

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Solution

The fourth proportional to 6,973.38, 9,564.26 and 6,186.06 is: 8,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.38 : 9,564.26 = 6,186.06 : x
  2. Step 2: Convert to fraction form
    6,973.38/9,564.26 = 6,186.06/x
  3. Step 3: Cross multiply
    6,973.38x = 9,564.26 × 6,186.06
  4. Step 4: Simplify right side
    6,973.38x = 59,165,101.68
  5. Step 5: Solve for x
    x = 59,165,101.68/6,973.38
  6. Step 6: Final answer
    x = 8,484.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.