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Finding the Fourth Proportional to 9,654.33, 14,482.53 and 3,078.99

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Solution

The fourth proportional to 9,654.33, 14,482.53 and 3,078.99 is: 4,618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.33 : 14,482.53 = 3,078.99 : x
  2. Step 2: Convert to fraction form
    9,654.33/14,482.53 = 3,078.99/x
  3. Step 3: Cross multiply
    9,654.33x = 14,482.53 × 3,078.99
  4. Step 4: Simplify right side
    9,654.33x = 44,591,565.04
  5. Step 5: Solve for x
    x = 44,591,565.04/9,654.33
  6. Step 6: Final answer
    x = 4,618.82

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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.