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Finding the Fourth Proportional to 9,512.70, 14,269.05 and 6,402.30

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Solution

The fourth proportional to 9,512.70, 14,269.05 and 6,402.30 is: 9,603.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.70 : 14,269.05 = 6,402.30 : x
  2. Step 2: Convert to fraction form
    9,512.70/14,269.05 = 6,402.30/x
  3. Step 3: Cross multiply
    9,512.70x = 14,269.05 × 6,402.30
  4. Step 4: Simplify right side
    9,512.70x = 91,354,738.82
  5. Step 5: Solve for x
    x = 91,354,738.82/9,512.70
  6. Step 6: Final answer
    x = 9,603.45

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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.