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Finding the Fourth Proportional to 9,710.12, 14,563.56 and 2,783

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Solution

The fourth proportional to 9,710.12, 14,563.56 and 2,783 is: 4,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.12 : 14,563.56 = 2,783 : x
  2. Step 2: Convert to fraction form
    9,710.12/14,563.56 = 2,783/x
  3. Step 3: Cross multiply
    9,710.12x = 14,563.56 × 2,783
  4. Step 4: Simplify right side
    9,710.12x = 40,530,387.48
  5. Step 5: Solve for x
    x = 40,530,387.48/9,710.12
  6. Step 6: Final answer
    x = 4,174.04

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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.