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Finding the Fourth Proportional to 9,191.00, 12,686.29 and 5,415.38

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Solution

The fourth proportional to 9,191.00, 12,686.29 and 5,415.38 is: 7,474.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.00 : 12,686.29 = 5,415.38 : x
  2. Step 2: Convert to fraction form
    9,191.00/12,686.29 = 5,415.38/x
  3. Step 3: Cross multiply
    9,191.00x = 12,686.29 × 5,415.38
  4. Step 4: Simplify right side
    9,191.00x = 68,701,085.68
  5. Step 5: Solve for x
    x = 68,701,085.68/9,191.00
  6. Step 6: Final answer
    x = 7,474.83

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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.