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Finding the Fourth Proportional to 9,647.17, 14,470.79 and 3,403.79

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Solution

The fourth proportional to 9,647.17, 14,470.79 and 3,403.79 is: 5,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.17 : 14,470.79 = 3,403.79 : x
  2. Step 2: Convert to fraction form
    9,647.17/14,470.79 = 3,403.79/x
  3. Step 3: Cross multiply
    9,647.17x = 14,470.79 × 3,403.79
  4. Step 4: Simplify right side
    9,647.17x = 49,255,495.19
  5. Step 5: Solve for x
    x = 49,255,495.19/9,647.17
  6. Step 6: Final answer
    x = 5,105.70

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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.