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Finding the Fourth Proportional to 9,289.92, 13,881.30 and 7,023.54

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Solution

The fourth proportional to 9,289.92, 13,881.30 and 7,023.54 is: 10,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.92 : 13,881.30 = 7,023.54 : x
  2. Step 2: Convert to fraction form
    9,289.92/13,881.30 = 7,023.54/x
  3. Step 3: Cross multiply
    9,289.92x = 13,881.30 × 7,023.54
  4. Step 4: Simplify right side
    9,289.92x = 97,495,865.80
  5. Step 5: Solve for x
    x = 97,495,865.80/9,289.92
  6. Step 6: Final answer
    x = 10,494.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.