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Finding the Fourth Proportional to 7,175.31, 9,903.65 and 5,661.96

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Solution

The fourth proportional to 7,175.31, 9,903.65 and 5,661.96 is: 7,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.31 : 9,903.65 = 5,661.96 : x
  2. Step 2: Convert to fraction form
    7,175.31/9,903.65 = 5,661.96/x
  3. Step 3: Cross multiply
    7,175.31x = 9,903.65 × 5,661.96
  4. Step 4: Simplify right side
    7,175.31x = 56,074,041.84
  5. Step 5: Solve for x
    x = 56,074,041.84/7,175.31
  6. Step 6: Final answer
    x = 7,814.86

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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.