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Finding the Fourth Proportional to 9,804.66, 14,692.69 and 4,541.28

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Solution

The fourth proportional to 9,804.66, 14,692.69 and 4,541.28 is: 6,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.66 : 14,692.69 = 4,541.28 : x
  2. Step 2: Convert to fraction form
    9,804.66/14,692.69 = 4,541.28/x
  3. Step 3: Cross multiply
    9,804.66x = 14,692.69 × 4,541.28
  4. Step 4: Simplify right side
    9,804.66x = 66,723,619.24
  5. Step 5: Solve for x
    x = 66,723,619.24/9,804.66
  6. Step 6: Final answer
    x = 6,805.30

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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.