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Finding the Fourth Proportional to 6,704.09, 9,250.29 and 4,051.64

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Solution

The fourth proportional to 6,704.09, 9,250.29 and 4,051.64 is: 5,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.09 : 9,250.29 = 4,051.64 : x
  2. Step 2: Convert to fraction form
    6,704.09/9,250.29 = 4,051.64/x
  3. Step 3: Cross multiply
    6,704.09x = 9,250.29 × 4,051.64
  4. Step 4: Simplify right side
    6,704.09x = 37,478,868.10
  5. Step 5: Solve for x
    x = 37,478,868.10/6,704.09
  6. Step 6: Final answer
    x = 5,590.45

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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.