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Finding the Fourth Proportional to 9,117.80, 13,674.73 and 2,878.30

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Solution

The fourth proportional to 9,117.80, 13,674.73 and 2,878.30 is: 4,316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.80 : 13,674.73 = 2,878.30 : x
  2. Step 2: Convert to fraction form
    9,117.80/13,674.73 = 2,878.30/x
  3. Step 3: Cross multiply
    9,117.80x = 13,674.73 × 2,878.30
  4. Step 4: Simplify right side
    9,117.80x = 39,359,934.99
  5. Step 5: Solve for x
    x = 39,359,934.99/9,117.80
  6. Step 6: Final answer
    x = 4,316.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.