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Finding the Fourth Proportional to 6,460.44, 9,687.90 and 2,457.14

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Solution

The fourth proportional to 6,460.44, 9,687.90 and 2,457.14 is: 3,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.44 : 9,687.90 = 2,457.14 : x
  2. Step 2: Convert to fraction form
    6,460.44/9,687.90 = 2,457.14/x
  3. Step 3: Cross multiply
    6,460.44x = 9,687.90 × 2,457.14
  4. Step 4: Simplify right side
    6,460.44x = 23,804,526.61
  5. Step 5: Solve for x
    x = 23,804,526.61/6,460.44
  6. Step 6: Final answer
    x = 3,684.66

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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.