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Finding the Fourth Proportional to 6,900.64, 9,521.40 and 3,916.24

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Solution

The fourth proportional to 6,900.64, 9,521.40 and 3,916.24 is: 5,403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.64 : 9,521.40 = 3,916.24 : x
  2. Step 2: Convert to fraction form
    6,900.64/9,521.40 = 3,916.24/x
  3. Step 3: Cross multiply
    6,900.64x = 9,521.40 × 3,916.24
  4. Step 4: Simplify right side
    6,900.64x = 37,288,087.54
  5. Step 5: Solve for x
    x = 37,288,087.54/6,900.64
  6. Step 6: Final answer
    x = 5,403.57

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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.