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Finding the Fourth Proportional to 6,432.36, 9,649.90 and 2,050.18

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Solution

The fourth proportional to 6,432.36, 9,649.90 and 2,050.18 is: 3,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.36 : 9,649.90 = 2,050.18 : x
  2. Step 2: Convert to fraction form
    6,432.36/9,649.90 = 2,050.18/x
  3. Step 3: Cross multiply
    6,432.36x = 9,649.90 × 2,050.18
  4. Step 4: Simplify right side
    6,432.36x = 19,784,031.98
  5. Step 5: Solve for x
    x = 19,784,031.98/6,432.36
  6. Step 6: Final answer
    x = 3,075.70

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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.