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Finding the Fourth Proportional to 9,659.14, 13,342.39 and 7,448.75

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Solution

The fourth proportional to 9,659.14, 13,342.39 and 7,448.75 is: 10,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.14 : 13,342.39 = 7,448.75 : x
  2. Step 2: Convert to fraction form
    9,659.14/13,342.39 = 7,448.75/x
  3. Step 3: Cross multiply
    9,659.14x = 13,342.39 × 7,448.75
  4. Step 4: Simplify right side
    9,659.14x = 99,384,127.51
  5. Step 5: Solve for x
    x = 99,384,127.51/9,659.14
  6. Step 6: Final answer
    x = 10,289.13

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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.