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Finding the Fourth Proportional to 6,457.94, 9,687.10 and 1,778.02

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Solution

The fourth proportional to 6,457.94, 9,687.10 and 1,778.02 is: 2,667.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.94 : 9,687.10 = 1,778.02 : x
  2. Step 2: Convert to fraction form
    6,457.94/9,687.10 = 1,778.02/x
  3. Step 3: Cross multiply
    6,457.94x = 9,687.10 × 1,778.02
  4. Step 4: Simplify right side
    6,457.94x = 17,223,853.90
  5. Step 5: Solve for x
    x = 17,223,853.90/6,457.94
  6. Step 6: Final answer
    x = 2,667.08

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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.