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Finding the Fourth Proportional to 9,427, 14,134.26 and 4,497.40

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Solution

The fourth proportional to 9,427, 14,134.26 and 4,497.40 is: 6,743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427 : 14,134.26 = 4,497.40 : x
  2. Step 2: Convert to fraction form
    9,427/14,134.26 = 4,497.40/x
  3. Step 3: Cross multiply
    9,427x = 14,134.26 × 4,497.40
  4. Step 4: Simplify right side
    9,427x = 63,567,420.92
  5. Step 5: Solve for x
    x = 63,567,420.92/9,427
  6. Step 6: Final answer
    x = 6,743.12

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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.