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Finding the Fourth Proportional to 9,595.46, 13,216.31 and 8,336.57

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Solution

The fourth proportional to 9,595.46, 13,216.31 and 8,336.57 is: 11,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.46 : 13,216.31 = 8,336.57 : x
  2. Step 2: Convert to fraction form
    9,595.46/13,216.31 = 8,336.57/x
  3. Step 3: Cross multiply
    9,595.46x = 13,216.31 × 8,336.57
  4. Step 4: Simplify right side
    9,595.46x = 110,178,738.19
  5. Step 5: Solve for x
    x = 110,178,738.19/9,595.46
  6. Step 6: Final answer
    x = 11,482.38

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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.