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Finding the Fourth Proportional to 6,061.50, 9,095.76 and 3,141.36

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Solution

The fourth proportional to 6,061.50, 9,095.76 and 3,141.36 is: 4,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.50 : 9,095.76 = 3,141.36 : x
  2. Step 2: Convert to fraction form
    6,061.50/9,095.76 = 3,141.36/x
  3. Step 3: Cross multiply
    6,061.50x = 9,095.76 × 3,141.36
  4. Step 4: Simplify right side
    6,061.50x = 28,573,056.63
  5. Step 5: Solve for x
    x = 28,573,056.63/6,061.50
  6. Step 6: Final answer
    x = 4,713.86

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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.