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Finding the Fourth Proportional to 6,950.00, 9,591.93 and 4,117.15

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Solution

The fourth proportional to 6,950.00, 9,591.93 and 4,117.15 is: 5,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.00 : 9,591.93 = 4,117.15 : x
  2. Step 2: Convert to fraction form
    6,950.00/9,591.93 = 4,117.15/x
  3. Step 3: Cross multiply
    6,950.00x = 9,591.93 × 4,117.15
  4. Step 4: Simplify right side
    6,950.00x = 39,491,394.01
  5. Step 5: Solve for x
    x = 39,491,394.01/6,950.00
  6. Step 6: Final answer
    x = 5,682.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.