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Finding the Fourth Proportional to 6,312.02, 9,469.42 and 1,929.82

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Solution

The fourth proportional to 6,312.02, 9,469.42 and 1,929.82 is: 2,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.02 : 9,469.42 = 1,929.82 : x
  2. Step 2: Convert to fraction form
    6,312.02/9,469.42 = 1,929.82/x
  3. Step 3: Cross multiply
    6,312.02x = 9,469.42 × 1,929.82
  4. Step 4: Simplify right side
    6,312.02x = 18,274,276.10
  5. Step 5: Solve for x
    x = 18,274,276.10/6,312.02
  6. Step 6: Final answer
    x = 2,895.15

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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.