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Finding the Fourth Proportional to 6,457.40, 9,686.10 and 3,176.90

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Solution

The fourth proportional to 6,457.40, 9,686.10 and 3,176.90 is: 4,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.40 : 9,686.10 = 3,176.90 : x
  2. Step 2: Convert to fraction form
    6,457.40/9,686.10 = 3,176.90/x
  3. Step 3: Cross multiply
    6,457.40x = 9,686.10 × 3,176.90
  4. Step 4: Simplify right side
    6,457.40x = 30,771,771.09
  5. Step 5: Solve for x
    x = 30,771,771.09/6,457.40
  6. Step 6: Final answer
    x = 4,765.35

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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.