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Finding the Fourth Proportional to 9,871.00, 14,804.89 and 3,297.17

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Solution

The fourth proportional to 9,871.00, 14,804.89 and 3,297.17 is: 4,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.00 : 14,804.89 = 3,297.17 : x
  2. Step 2: Convert to fraction form
    9,871.00/14,804.89 = 3,297.17/x
  3. Step 3: Cross multiply
    9,871.00x = 14,804.89 × 3,297.17
  4. Step 4: Simplify right side
    9,871.00x = 48,814,210.11
  5. Step 5: Solve for x
    x = 48,814,210.11/9,871.00
  6. Step 6: Final answer
    x = 4,945.21

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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.