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Finding the Fourth Proportional to 9,866.77, 14,788.66 and 3,622.07

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Solution

The fourth proportional to 9,866.77, 14,788.66 and 3,622.07 is: 5,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.77 : 14,788.66 = 3,622.07 : x
  2. Step 2: Convert to fraction form
    9,866.77/14,788.66 = 3,622.07/x
  3. Step 3: Cross multiply
    9,866.77x = 14,788.66 × 3,622.07
  4. Step 4: Simplify right side
    9,866.77x = 53,565,561.73
  5. Step 5: Solve for x
    x = 53,565,561.73/9,866.77
  6. Step 6: Final answer
    x = 5,428.89

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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.