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Finding the Fourth Proportional to 6,457.15, 9,686.63 and 2,073.14

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Solution

The fourth proportional to 6,457.15, 9,686.63 and 2,073.14 is: 3,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.15 : 9,686.63 = 2,073.14 : x
  2. Step 2: Convert to fraction form
    6,457.15/9,686.63 = 2,073.14/x
  3. Step 3: Cross multiply
    6,457.15x = 9,686.63 × 2,073.14
  4. Step 4: Simplify right side
    6,457.15x = 20,081,696.87
  5. Step 5: Solve for x
    x = 20,081,696.87/6,457.15
  6. Step 6: Final answer
    x = 3,110.00

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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.