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Finding the Fourth Proportional to 9,606.84, 13,259.25 and 5,415.09

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Solution

The fourth proportional to 9,606.84, 13,259.25 and 5,415.09 is: 7,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.84 : 13,259.25 = 5,415.09 : x
  2. Step 2: Convert to fraction form
    9,606.84/13,259.25 = 5,415.09/x
  3. Step 3: Cross multiply
    9,606.84x = 13,259.25 × 5,415.09
  4. Step 4: Simplify right side
    9,606.84x = 71,800,032.08
  5. Step 5: Solve for x
    x = 71,800,032.08/9,606.84
  6. Step 6: Final answer
    x = 7,473.84

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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.