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Finding the Fourth Proportional to 6,354.18, 9,463.50 and 5,977.26

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Solution

The fourth proportional to 6,354.18, 9,463.50 and 5,977.26 is: 8,902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.18 : 9,463.50 = 5,977.26 : x
  2. Step 2: Convert to fraction form
    6,354.18/9,463.50 = 5,977.26/x
  3. Step 3: Cross multiply
    6,354.18x = 9,463.50 × 5,977.26
  4. Step 4: Simplify right side
    6,354.18x = 56,565,800.01
  5. Step 5: Solve for x
    x = 56,565,800.01/6,354.18
  6. Step 6: Final answer
    x = 8,902.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.