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Finding the Fourth Proportional to 9,741.70, 13,443.69 and 5,549.86

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Solution

The fourth proportional to 9,741.70, 13,443.69 and 5,549.86 is: 7,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.70 : 13,443.69 = 5,549.86 : x
  2. Step 2: Convert to fraction form
    9,741.70/13,443.69 = 5,549.86/x
  3. Step 3: Cross multiply
    9,741.70x = 13,443.69 × 5,549.86
  4. Step 4: Simplify right side
    9,741.70x = 74,610,597.38
  5. Step 5: Solve for x
    x = 74,610,597.38/9,741.70
  6. Step 6: Final answer
    x = 7,658.89

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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.