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Finding the Fourth Proportional to 7,051.26, 9,732.24 and 4,661.64

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Solution

The fourth proportional to 7,051.26, 9,732.24 and 4,661.64 is: 6,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.26 : 9,732.24 = 4,661.64 : x
  2. Step 2: Convert to fraction form
    7,051.26/9,732.24 = 4,661.64/x
  3. Step 3: Cross multiply
    7,051.26x = 9,732.24 × 4,661.64
  4. Step 4: Simplify right side
    7,051.26x = 45,368,199.27
  5. Step 5: Solve for x
    x = 45,368,199.27/7,051.26
  6. Step 6: Final answer
    x = 6,434.06

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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.