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Finding the Fourth Proportional to 9,586.48, 13,240.42 and 6,394.23

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Solution

The fourth proportional to 9,586.48, 13,240.42 and 6,394.23 is: 8,831.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.48 : 13,240.42 = 6,394.23 : x
  2. Step 2: Convert to fraction form
    9,586.48/13,240.42 = 6,394.23/x
  3. Step 3: Cross multiply
    9,586.48x = 13,240.42 × 6,394.23
  4. Step 4: Simplify right side
    9,586.48x = 84,662,258.81
  5. Step 5: Solve for x
    x = 84,662,258.81/9,586.48
  6. Step 6: Final answer
    x = 8,831.43

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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.