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Finding the Fourth Proportional to 9,508.59, 13,119.64 and 5,527.31

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Solution

The fourth proportional to 9,508.59, 13,119.64 and 5,527.31 is: 7,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.59 : 13,119.64 = 5,527.31 : x
  2. Step 2: Convert to fraction form
    9,508.59/13,119.64 = 5,527.31/x
  3. Step 3: Cross multiply
    9,508.59x = 13,119.64 × 5,527.31
  4. Step 4: Simplify right side
    9,508.59x = 72,516,237.95
  5. Step 5: Solve for x
    x = 72,516,237.95/9,508.59
  6. Step 6: Final answer
    x = 7,626.39

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Why These Related Problems?

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