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Finding the Fourth Proportional to 9,326.54, 13,979.95 and 3,084.95

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Solution

The fourth proportional to 9,326.54, 13,979.95 and 3,084.95 is: 4,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.54 : 13,979.95 = 3,084.95 : x
  2. Step 2: Convert to fraction form
    9,326.54/13,979.95 = 3,084.95/x
  3. Step 3: Cross multiply
    9,326.54x = 13,979.95 × 3,084.95
  4. Step 4: Simplify right side
    9,326.54x = 43,127,446.75
  5. Step 5: Solve for x
    x = 43,127,446.75/9,326.54
  6. Step 6: Final answer
    x = 4,624.16

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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.