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Finding the Fourth Proportional to 9,667.44, 13,345.56 and 7,278.36

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Solution

The fourth proportional to 9,667.44, 13,345.56 and 7,278.36 is: 10,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.44 : 13,345.56 = 7,278.36 : x
  2. Step 2: Convert to fraction form
    9,667.44/13,345.56 = 7,278.36/x
  3. Step 3: Cross multiply
    9,667.44x = 13,345.56 × 7,278.36
  4. Step 4: Simplify right side
    9,667.44x = 97,133,790.08
  5. Step 5: Solve for x
    x = 97,133,790.08/9,667.44
  6. Step 6: Final answer
    x = 10,047.52

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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.