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Finding the Fourth Proportional to 9,649.04, 14,473.85 and 3,323.84

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Solution

The fourth proportional to 9,649.04, 14,473.85 and 3,323.84 is: 4,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.04 : 14,473.85 = 3,323.84 : x
  2. Step 2: Convert to fraction form
    9,649.04/14,473.85 = 3,323.84/x
  3. Step 3: Cross multiply
    9,649.04x = 14,473.85 × 3,323.84
  4. Step 4: Simplify right side
    9,649.04x = 48,108,672.60
  5. Step 5: Solve for x
    x = 48,108,672.60/9,649.04
  6. Step 6: Final answer
    x = 4,985.85

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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.