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Finding the Fourth Proportional to 9,905.54, 14,857.80 and 2,510.12

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Solution

The fourth proportional to 9,905.54, 14,857.80 and 2,510.12 is: 3,765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.54 : 14,857.80 = 2,510.12 : x
  2. Step 2: Convert to fraction form
    9,905.54/14,857.80 = 2,510.12/x
  3. Step 3: Cross multiply
    9,905.54x = 14,857.80 × 2,510.12
  4. Step 4: Simplify right side
    9,905.54x = 37,294,786.65
  5. Step 5: Solve for x
    x = 37,294,786.65/9,905.54
  6. Step 6: Final answer
    x = 3,765.05

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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.