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Finding the Fourth Proportional to 9,667.81, 13,352.07 and 7,785.60

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Solution

The fourth proportional to 9,667.81, 13,352.07 and 7,785.60 is: 10,752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.81 : 13,352.07 = 7,785.60 : x
  2. Step 2: Convert to fraction form
    9,667.81/13,352.07 = 7,785.60/x
  3. Step 3: Cross multiply
    9,667.81x = 13,352.07 × 7,785.60
  4. Step 4: Simplify right side
    9,667.81x = 103,953,876.19
  5. Step 5: Solve for x
    x = 103,953,876.19/9,667.81
  6. Step 6: Final answer
    x = 10,752.58

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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.