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Finding the Fourth Proportional to 9,478.83, 13,086.86 and 8,482.38

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Solution

The fourth proportional to 9,478.83, 13,086.86 and 8,482.38 is: 11,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.83 : 13,086.86 = 8,482.38 : x
  2. Step 2: Convert to fraction form
    9,478.83/13,086.86 = 8,482.38/x
  3. Step 3: Cross multiply
    9,478.83x = 13,086.86 × 8,482.38
  4. Step 4: Simplify right side
    9,478.83x = 111,007,719.53
  5. Step 5: Solve for x
    x = 111,007,719.53/9,478.83
  6. Step 6: Final answer
    x = 11,711.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.