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Finding the Fourth Proportional to 9,905.99, 14,861.56 and 2,885.84

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Solution

The fourth proportional to 9,905.99, 14,861.56 and 2,885.84 is: 4,329.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.99 : 14,861.56 = 2,885.84 : x
  2. Step 2: Convert to fraction form
    9,905.99/14,861.56 = 2,885.84/x
  3. Step 3: Cross multiply
    9,905.99x = 14,861.56 × 2,885.84
  4. Step 4: Simplify right side
    9,905.99x = 42,888,084.31
  5. Step 5: Solve for x
    x = 42,888,084.31/9,905.99
  6. Step 6: Final answer
    x = 4,329.51

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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.