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Finding the Fourth Proportional to 9,523.28, 14,289.78 and 4,328.48

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Solution

The fourth proportional to 9,523.28, 14,289.78 and 4,328.48 is: 6,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.28 : 14,289.78 = 4,328.48 : x
  2. Step 2: Convert to fraction form
    9,523.28/14,289.78 = 4,328.48/x
  3. Step 3: Cross multiply
    9,523.28x = 14,289.78 × 4,328.48
  4. Step 4: Simplify right side
    9,523.28x = 61,853,026.93
  5. Step 5: Solve for x
    x = 61,853,026.93/9,523.28
  6. Step 6: Final answer
    x = 6,494.93

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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.