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Finding the Fourth Proportional to 6,094.46, 9,141.71 and 1,711.95

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Solution

The fourth proportional to 6,094.46, 9,141.71 and 1,711.95 is: 2,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.46 : 9,141.71 = 1,711.95 : x
  2. Step 2: Convert to fraction form
    6,094.46/9,141.71 = 1,711.95/x
  3. Step 3: Cross multiply
    6,094.46x = 9,141.71 × 1,711.95
  4. Step 4: Simplify right side
    6,094.46x = 15,650,141.87
  5. Step 5: Solve for x
    x = 15,650,141.87/6,094.46
  6. Step 6: Final answer
    x = 2,567.93

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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.