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Finding the Fourth Proportional to 9,664.72, 13,338.16 and 5,415.72

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Solution

The fourth proportional to 9,664.72, 13,338.16 and 5,415.72 is: 7,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.72 : 13,338.16 = 5,415.72 : x
  2. Step 2: Convert to fraction form
    9,664.72/13,338.16 = 5,415.72/x
  3. Step 3: Cross multiply
    9,664.72x = 13,338.16 × 5,415.72
  4. Step 4: Simplify right side
    9,664.72x = 72,235,739.88
  5. Step 5: Solve for x
    x = 72,235,739.88/9,664.72
  6. Step 6: Final answer
    x = 7,474.17

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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.