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Finding the Fourth Proportional to 9,464.86, 14,206.08 and 4,788.17

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Solution

The fourth proportional to 9,464.86, 14,206.08 and 4,788.17 is: 7,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.86 : 14,206.08 = 4,788.17 : x
  2. Step 2: Convert to fraction form
    9,464.86/14,206.08 = 4,788.17/x
  3. Step 3: Cross multiply
    9,464.86x = 14,206.08 × 4,788.17
  4. Step 4: Simplify right side
    9,464.86x = 68,021,161.59
  5. Step 5: Solve for x
    x = 68,021,161.59/9,464.86
  6. Step 6: Final answer
    x = 7,186.71

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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.