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Finding the Fourth Proportional to 9,740.38, 13,441.72 and 5,548.63

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Solution

The fourth proportional to 9,740.38, 13,441.72 and 5,548.63 is: 7,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.38 : 13,441.72 = 5,548.63 : x
  2. Step 2: Convert to fraction form
    9,740.38/13,441.72 = 5,548.63/x
  3. Step 3: Cross multiply
    9,740.38x = 13,441.72 × 5,548.63
  4. Step 4: Simplify right side
    9,740.38x = 74,583,049.76
  5. Step 5: Solve for x
    x = 74,583,049.76/9,740.38
  6. Step 6: Final answer
    x = 7,657.10

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Why These Related Problems?

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