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Finding the Fourth Proportional to 9,741.57, 14,615.76 and 3,079.10

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Solution

The fourth proportional to 9,741.57, 14,615.76 and 3,079.10 is: 4,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.57 : 14,615.76 = 3,079.10 : x
  2. Step 2: Convert to fraction form
    9,741.57/14,615.76 = 3,079.10/x
  3. Step 3: Cross multiply
    9,741.57x = 14,615.76 × 3,079.10
  4. Step 4: Simplify right side
    9,741.57x = 45,003,313.54
  5. Step 5: Solve for x
    x = 45,003,313.54/9,741.57
  6. Step 6: Final answer
    x = 4,619.72

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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.