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Finding the Fourth Proportional to 9,651.54, 13,318.00 and 5,402.84

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Solution

The fourth proportional to 9,651.54, 13,318.00 and 5,402.84 is: 7,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.54 : 13,318.00 = 5,402.84 : x
  2. Step 2: Convert to fraction form
    9,651.54/13,318.00 = 5,402.84/x
  3. Step 3: Cross multiply
    9,651.54x = 13,318.00 × 5,402.84
  4. Step 4: Simplify right side
    9,651.54x = 71,954,929.52
  5. Step 5: Solve for x
    x = 71,954,929.52/9,651.54
  6. Step 6: Final answer
    x = 7,455.28

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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.