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Finding the Fourth Proportional to 9,528.33, 14,289.47 and 8,906.42

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Solution

The fourth proportional to 9,528.33, 14,289.47 and 8,906.42 is: 13,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.33 : 14,289.47 = 8,906.42 : x
  2. Step 2: Convert to fraction form
    9,528.33/14,289.47 = 8,906.42/x
  3. Step 3: Cross multiply
    9,528.33x = 14,289.47 × 8,906.42
  4. Step 4: Simplify right side
    9,528.33x = 127,267,905.42
  5. Step 5: Solve for x
    x = 127,267,905.42/9,528.33
  6. Step 6: Final answer
    x = 13,356.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.