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Finding the Fourth Proportional to 9,457.83, 13,049.64 and 5,679.72

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Solution

The fourth proportional to 9,457.83, 13,049.64 and 5,679.72 is: 7,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.83 : 13,049.64 = 5,679.72 : x
  2. Step 2: Convert to fraction form
    9,457.83/13,049.64 = 5,679.72/x
  3. Step 3: Cross multiply
    9,457.83x = 13,049.64 × 5,679.72
  4. Step 4: Simplify right side
    9,457.83x = 74,118,301.30
  5. Step 5: Solve for x
    x = 74,118,301.30/9,457.83
  6. Step 6: Final answer
    x = 7,836.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.