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Finding the Fourth Proportional to 9,823.74, 14,737.83 and 3,249.91

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Solution

The fourth proportional to 9,823.74, 14,737.83 and 3,249.91 is: 4,875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.74 : 14,737.83 = 3,249.91 : x
  2. Step 2: Convert to fraction form
    9,823.74/14,737.83 = 3,249.91/x
  3. Step 3: Cross multiply
    9,823.74x = 14,737.83 × 3,249.91
  4. Step 4: Simplify right side
    9,823.74x = 47,896,621.10
  5. Step 5: Solve for x
    x = 47,896,621.10/9,823.74
  6. Step 6: Final answer
    x = 4,875.60

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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.