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Finding the Fourth Proportional to 9,647.16, 14,470.89 and 3,078.87

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Solution

The fourth proportional to 9,647.16, 14,470.89 and 3,078.87 is: 4,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.16 : 14,470.89 = 3,078.87 : x
  2. Step 2: Convert to fraction form
    9,647.16/14,470.89 = 3,078.87/x
  3. Step 3: Cross multiply
    9,647.16x = 14,470.89 × 3,078.87
  4. Step 4: Simplify right side
    9,647.16x = 44,553,989.09
  5. Step 5: Solve for x
    x = 44,553,989.09/9,647.16
  6. Step 6: Final answer
    x = 4,618.35

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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.