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Finding the Fourth Proportional to 9,674.30, 14,512.91 and 4,127.63

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Solution

The fourth proportional to 9,674.30, 14,512.91 and 4,127.63 is: 6,192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.30 : 14,512.91 = 4,127.63 : x
  2. Step 2: Convert to fraction form
    9,674.30/14,512.91 = 4,127.63/x
  3. Step 3: Cross multiply
    9,674.30x = 14,512.91 × 4,127.63
  4. Step 4: Simplify right side
    9,674.30x = 59,903,829.50
  5. Step 5: Solve for x
    x = 59,903,829.50/9,674.30
  6. Step 6: Final answer
    x = 6,192.06

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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.