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Finding the Fourth Proportional to 9,788.33, 14,677.71 and 6,828.19

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Solution

The fourth proportional to 9,788.33, 14,677.71 and 6,828.19 is: 10,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.33 : 14,677.71 = 6,828.19 : x
  2. Step 2: Convert to fraction form
    9,788.33/14,677.71 = 6,828.19/x
  3. Step 3: Cross multiply
    9,788.33x = 14,677.71 × 6,828.19
  4. Step 4: Simplify right side
    9,788.33x = 100,222,158.50
  5. Step 5: Solve for x
    x = 100,222,158.50/9,788.33
  6. Step 6: Final answer
    x = 10,238.95

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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.