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Finding the Fourth Proportional to 6,433.45, 9,649.01 and 1,929.58

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Solution

The fourth proportional to 6,433.45, 9,649.01 and 1,929.58 is: 2,894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.45 : 9,649.01 = 1,929.58 : x
  2. Step 2: Convert to fraction form
    6,433.45/9,649.01 = 1,929.58/x
  3. Step 3: Cross multiply
    6,433.45x = 9,649.01 × 1,929.58
  4. Step 4: Simplify right side
    6,433.45x = 18,618,478.82
  5. Step 5: Solve for x
    x = 18,618,478.82/6,433.45
  6. Step 6: Final answer
    x = 2,894.01

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