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Finding the Fourth Proportional to 9,785.32, 14,692.56 and 6,869.32

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Solution

The fourth proportional to 9,785.32, 14,692.56 and 6,869.32 is: 10,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.32 : 14,692.56 = 6,869.32 : x
  2. Step 2: Convert to fraction form
    9,785.32/14,692.56 = 6,869.32/x
  3. Step 3: Cross multiply
    9,785.32x = 14,692.56 × 6,869.32
  4. Step 4: Simplify right side
    9,785.32x = 100,927,896.26
  5. Step 5: Solve for x
    x = 100,927,896.26/9,785.32
  6. Step 6: Final answer
    x = 10,314.22

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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.