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Finding the Fourth Proportional to 9,838.32, 14,737.77 and 4,892.73

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Solution

The fourth proportional to 9,838.32, 14,737.77 and 4,892.73 is: 7,329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.32 : 14,737.77 = 4,892.73 : x
  2. Step 2: Convert to fraction form
    9,838.32/14,737.77 = 4,892.73/x
  3. Step 3: Cross multiply
    9,838.32x = 14,737.77 × 4,892.73
  4. Step 4: Simplify right side
    9,838.32x = 72,107,929.41
  5. Step 5: Solve for x
    x = 72,107,929.41/9,838.32
  6. Step 6: Final answer
    x = 7,329.29

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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.