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Finding the Fourth Proportional to 9,627.40, 14,443.80 and 4,083.40

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Solution

The fourth proportional to 9,627.40, 14,443.80 and 4,083.40 is: 6,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.40 : 14,443.80 = 4,083.40 : x
  2. Step 2: Convert to fraction form
    9,627.40/14,443.80 = 4,083.40/x
  3. Step 3: Cross multiply
    9,627.40x = 14,443.80 × 4,083.40
  4. Step 4: Simplify right side
    9,627.40x = 58,979,812.92
  5. Step 5: Solve for x
    x = 58,979,812.92/9,627.40
  6. Step 6: Final answer
    x = 6,126.25

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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.