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Finding the Fourth Proportional to 9,649.63, 14,475.51 and 3,074.30

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Solution

The fourth proportional to 9,649.63, 14,475.51 and 3,074.30 is: 4,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.63 : 14,475.51 = 3,074.30 : x
  2. Step 2: Convert to fraction form
    9,649.63/14,475.51 = 3,074.30/x
  3. Step 3: Cross multiply
    9,649.63x = 14,475.51 × 3,074.30
  4. Step 4: Simplify right side
    9,649.63x = 44,502,123.72
  5. Step 5: Solve for x
    x = 44,502,123.72/9,649.63
  6. Step 6: Final answer
    x = 4,611.80

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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.