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Finding the Fourth Proportional to 6,476.30, 8,941.01 and 4,354.91

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Solution

The fourth proportional to 6,476.30, 8,941.01 and 4,354.91 is: 6,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.30 : 8,941.01 = 4,354.91 : x
  2. Step 2: Convert to fraction form
    6,476.30/8,941.01 = 4,354.91/x
  3. Step 3: Cross multiply
    6,476.30x = 8,941.01 × 4,354.91
  4. Step 4: Simplify right side
    6,476.30x = 38,937,227.38
  5. Step 5: Solve for x
    x = 38,937,227.38/6,476.30
  6. Step 6: Final answer
    x = 6,012.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.