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Finding the Fourth Proportional to 9,585.73, 13,228.48 and 5,336.57

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Solution

The fourth proportional to 9,585.73, 13,228.48 and 5,336.57 is: 7,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.73 : 13,228.48 = 5,336.57 : x
  2. Step 2: Convert to fraction form
    9,585.73/13,228.48 = 5,336.57/x
  3. Step 3: Cross multiply
    9,585.73x = 13,228.48 × 5,336.57
  4. Step 4: Simplify right side
    9,585.73x = 70,594,709.51
  5. Step 5: Solve for x
    x = 70,594,709.51/9,585.73
  6. Step 6: Final answer
    x = 7,364.56

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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.