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Finding the Fourth Proportional to 9,665.48, 13,344.78 and 7,423.35

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Solution

The fourth proportional to 9,665.48, 13,344.78 and 7,423.35 is: 10,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.48 : 13,344.78 = 7,423.35 : x
  2. Step 2: Convert to fraction form
    9,665.48/13,344.78 = 7,423.35/x
  3. Step 3: Cross multiply
    9,665.48x = 13,344.78 × 7,423.35
  4. Step 4: Simplify right side
    9,665.48x = 99,062,905.89
  5. Step 5: Solve for x
    x = 99,062,905.89/9,665.48
  6. Step 6: Final answer
    x = 10,249.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.