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Finding the Fourth Proportional to 9,505.49, 14,253.10 and 6,737.58

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Solution

The fourth proportional to 9,505.49, 14,253.10 and 6,737.58 is: 10,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.49 : 14,253.10 = 6,737.58 : x
  2. Step 2: Convert to fraction form
    9,505.49/14,253.10 = 6,737.58/x
  3. Step 3: Cross multiply
    9,505.49x = 14,253.10 × 6,737.58
  4. Step 4: Simplify right side
    9,505.49x = 96,031,384.65
  5. Step 5: Solve for x
    x = 96,031,384.65/9,505.49
  6. Step 6: Final answer
    x = 10,102.73

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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.