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Finding the Fourth Proportional to 9,465.16, 14,199.02 and 2,891.80

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Solution

The fourth proportional to 9,465.16, 14,199.02 and 2,891.80 is: 4,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.16 : 14,199.02 = 2,891.80 : x
  2. Step 2: Convert to fraction form
    9,465.16/14,199.02 = 2,891.80/x
  3. Step 3: Cross multiply
    9,465.16x = 14,199.02 × 2,891.80
  4. Step 4: Simplify right side
    9,465.16x = 41,060,726.04
  5. Step 5: Solve for x
    x = 41,060,726.04/9,465.16
  6. Step 6: Final answer
    x = 4,338.09

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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.