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Finding the Fourth Proportional to 9,764.85, 13,475.19 and 5,516.10

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Solution

The fourth proportional to 9,764.85, 13,475.19 and 5,516.10 is: 7,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.85 : 13,475.19 = 5,516.10 : x
  2. Step 2: Convert to fraction form
    9,764.85/13,475.19 = 5,516.10/x
  3. Step 3: Cross multiply
    9,764.85x = 13,475.19 × 5,516.10
  4. Step 4: Simplify right side
    9,764.85x = 74,330,495.56
  5. Step 5: Solve for x
    x = 74,330,495.56/9,764.85
  6. Step 6: Final answer
    x = 7,612.05

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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.