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Finding the Fourth Proportional to 9,663.24, 13,328.10 and 6,302.28

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Solution

The fourth proportional to 9,663.24, 13,328.10 and 6,302.28 is: 8,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.24 : 13,328.10 = 6,302.28 : x
  2. Step 2: Convert to fraction form
    9,663.24/13,328.10 = 6,302.28/x
  3. Step 3: Cross multiply
    9,663.24x = 13,328.10 × 6,302.28
  4. Step 4: Simplify right side
    9,663.24x = 83,997,418.07
  5. Step 5: Solve for x
    x = 83,997,418.07/9,663.24
  6. Step 6: Final answer
    x = 8,692.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.