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Finding the Fourth Proportional to 6,312.38, 9,472.64 and 2,849.63

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Solution

The fourth proportional to 6,312.38, 9,472.64 and 2,849.63 is: 4,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.38 : 9,472.64 = 2,849.63 : x
  2. Step 2: Convert to fraction form
    6,312.38/9,472.64 = 2,849.63/x
  3. Step 3: Cross multiply
    6,312.38x = 9,472.64 × 2,849.63
  4. Step 4: Simplify right side
    6,312.38x = 26,993,457.51
  5. Step 5: Solve for x
    x = 26,993,457.51/6,312.38
  6. Step 6: Final answer
    x = 4,276.28

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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.