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Finding the Fourth Proportional to 9,701.71, 14,573.30 and 6,946.09

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Solution

The fourth proportional to 9,701.71, 14,573.30 and 6,946.09 is: 10,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.71 : 14,573.30 = 6,946.09 : x
  2. Step 2: Convert to fraction form
    9,701.71/14,573.30 = 6,946.09/x
  3. Step 3: Cross multiply
    9,701.71x = 14,573.30 × 6,946.09
  4. Step 4: Simplify right side
    9,701.71x = 101,227,453.40
  5. Step 5: Solve for x
    x = 101,227,453.40/9,701.71
  6. Step 6: Final answer
    x = 10,433.98

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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.