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Finding the Fourth Proportional to 9,424.28, 14,197.55 and 8,965.82

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Solution

The fourth proportional to 9,424.28, 14,197.55 and 8,965.82 is: 13,506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.28 : 14,197.55 = 8,965.82 : x
  2. Step 2: Convert to fraction form
    9,424.28/14,197.55 = 8,965.82/x
  3. Step 3: Cross multiply
    9,424.28x = 14,197.55 × 8,965.82
  4. Step 4: Simplify right side
    9,424.28x = 127,292,677.74
  5. Step 5: Solve for x
    x = 127,292,677.74/9,424.28
  6. Step 6: Final answer
    x = 13,506.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.