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Finding the Fourth Proportional to 34,696.01, 52,040.14 and 9,737.02

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Solution

The fourth proportional to 34,696.01, 52,040.14 and 9,737.02 is: 14,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,696.01 : 52,040.14 = 9,737.02 : x
  2. Step 2: Convert to fraction form
    34,696.01/52,040.14 = 9,737.02/x
  3. Step 3: Cross multiply
    34,696.01x = 52,040.14 × 9,737.02
  4. Step 4: Simplify right side
    34,696.01x = 506,715,883.98
  5. Step 5: Solve for x
    x = 506,715,883.98/34,696.01
  6. Step 6: Final answer
    x = 14,604.44

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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.