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Finding the Fourth Proportional to 6,428.61, 9,644.12 and 2,918.86

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Solution

The fourth proportional to 6,428.61, 9,644.12 and 2,918.86 is: 4,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.61 : 9,644.12 = 2,918.86 : x
  2. Step 2: Convert to fraction form
    6,428.61/9,644.12 = 2,918.86/x
  3. Step 3: Cross multiply
    6,428.61x = 9,644.12 × 2,918.86
  4. Step 4: Simplify right side
    6,428.61x = 28,149,836.10
  5. Step 5: Solve for x
    x = 28,149,836.10/6,428.61
  6. Step 6: Final answer
    x = 4,378.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.