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Finding the Fourth Proportional to 9,453.16, 14,179.17 and 4,186.63

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Solution

The fourth proportional to 9,453.16, 14,179.17 and 4,186.63 is: 6,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.16 : 14,179.17 = 4,186.63 : x
  2. Step 2: Convert to fraction form
    9,453.16/14,179.17 = 4,186.63/x
  3. Step 3: Cross multiply
    9,453.16x = 14,179.17 × 4,186.63
  4. Step 4: Simplify right side
    9,453.16x = 59,362,938.50
  5. Step 5: Solve for x
    x = 59,362,938.50/9,453.16
  6. Step 6: Final answer
    x = 6,279.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.