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Finding the Fourth Proportional to 6,457.92, 9,690.40 and 2,509.34

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Solution

The fourth proportional to 6,457.92, 9,690.40 and 2,509.34 is: 3,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.92 : 9,690.40 = 2,509.34 : x
  2. Step 2: Convert to fraction form
    6,457.92/9,690.40 = 2,509.34/x
  3. Step 3: Cross multiply
    6,457.92x = 9,690.40 × 2,509.34
  4. Step 4: Simplify right side
    6,457.92x = 24,316,508.34
  5. Step 5: Solve for x
    x = 24,316,508.34/6,457.92
  6. Step 6: Final answer
    x = 3,765.38

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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.