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Finding the Fourth Proportional to 9,885.35, 14,829.32 and 3,649.74

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Solution

The fourth proportional to 9,885.35, 14,829.32 and 3,649.74 is: 5,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.35 : 14,829.32 = 3,649.74 : x
  2. Step 2: Convert to fraction form
    9,885.35/14,829.32 = 3,649.74/x
  3. Step 3: Cross multiply
    9,885.35x = 14,829.32 × 3,649.74
  4. Step 4: Simplify right side
    9,885.35x = 54,123,157.81
  5. Step 5: Solve for x
    x = 54,123,157.81/9,885.35
  6. Step 6: Final answer
    x = 5,475.09

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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.