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Finding the Fourth Proportional to 9,475.44, 13,077.36 and 6,831.60

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Solution

The fourth proportional to 9,475.44, 13,077.36 and 6,831.60 is: 9,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.44 : 13,077.36 = 6,831.60 : x
  2. Step 2: Convert to fraction form
    9,475.44/13,077.36 = 6,831.60/x
  3. Step 3: Cross multiply
    9,475.44x = 13,077.36 × 6,831.60
  4. Step 4: Simplify right side
    9,475.44x = 89,339,292.58
  5. Step 5: Solve for x
    x = 89,339,292.58/9,475.44
  6. Step 6: Final answer
    x = 9,428.51

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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.