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Finding the Fourth Proportional to 9,142.48, 13,647.52 and 8,035.32

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Solution

The fourth proportional to 9,142.48, 13,647.52 and 8,035.32 is: 11,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.48 : 13,647.52 = 8,035.32 : x
  2. Step 2: Convert to fraction form
    9,142.48/13,647.52 = 8,035.32/x
  3. Step 3: Cross multiply
    9,142.48x = 13,647.52 × 8,035.32
  4. Step 4: Simplify right side
    9,142.48x = 109,662,190.41
  5. Step 5: Solve for x
    x = 109,662,190.41/9,142.48
  6. Step 6: Final answer
    x = 11,994.80

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Why These Related Problems?

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