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Finding the Fourth Proportional to 9,718.05, 14,578.02 and 3,873.27

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Solution

The fourth proportional to 9,718.05, 14,578.02 and 3,873.27 is: 5,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.05 : 14,578.02 = 3,873.27 : x
  2. Step 2: Convert to fraction form
    9,718.05/14,578.02 = 3,873.27/x
  3. Step 3: Cross multiply
    9,718.05x = 14,578.02 × 3,873.27
  4. Step 4: Simplify right side
    9,718.05x = 56,464,607.53
  5. Step 5: Solve for x
    x = 56,464,607.53/9,718.05
  6. Step 6: Final answer
    x = 5,810.28

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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.