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Finding the Fourth Proportional to 9,289.46, 12,824.42 and 7,160.32

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Solution

The fourth proportional to 9,289.46, 12,824.42 and 7,160.32 is: 9,885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.46 : 12,824.42 = 7,160.32 : x
  2. Step 2: Convert to fraction form
    9,289.46/12,824.42 = 7,160.32/x
  3. Step 3: Cross multiply
    9,289.46x = 12,824.42 × 7,160.32
  4. Step 4: Simplify right side
    9,289.46x = 91,826,951.01
  5. Step 5: Solve for x
    x = 91,826,951.01/9,289.46
  6. Step 6: Final answer
    x = 9,885.07

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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.