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Finding the Fourth Proportional to 9,465.58, 14,198.07 and 2,891.50

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Solution

The fourth proportional to 9,465.58, 14,198.07 and 2,891.50 is: 4,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.58 : 14,198.07 = 2,891.50 : x
  2. Step 2: Convert to fraction form
    9,465.58/14,198.07 = 2,891.50/x
  3. Step 3: Cross multiply
    9,465.58x = 14,198.07 × 2,891.50
  4. Step 4: Simplify right side
    9,465.58x = 41,053,719.41
  5. Step 5: Solve for x
    x = 41,053,719.41/9,465.58
  6. Step 6: Final answer
    x = 4,337.16

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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.