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Finding the Fourth Proportional to 6,890.64, 9,507.42 and 4,371.84

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Solution

The fourth proportional to 6,890.64, 9,507.42 and 4,371.84 is: 6,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.64 : 9,507.42 = 4,371.84 : x
  2. Step 2: Convert to fraction form
    6,890.64/9,507.42 = 4,371.84/x
  3. Step 3: Cross multiply
    6,890.64x = 9,507.42 × 4,371.84
  4. Step 4: Simplify right side
    6,890.64x = 41,564,919.05
  5. Step 5: Solve for x
    x = 41,564,919.05/6,890.64
  6. Step 6: Final answer
    x = 6,032.08

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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.