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Finding the Fourth Proportional to 9,841.64, 14,749.86 and 5,399.24

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Solution

The fourth proportional to 9,841.64, 14,749.86 and 5,399.24 is: 8,091.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.64 : 14,749.86 = 5,399.24 : x
  2. Step 2: Convert to fraction form
    9,841.64/14,749.86 = 5,399.24/x
  3. Step 3: Cross multiply
    9,841.64x = 14,749.86 × 5,399.24
  4. Step 4: Simplify right side
    9,841.64x = 79,638,034.11
  5. Step 5: Solve for x
    x = 79,638,034.11/9,841.64
  6. Step 6: Final answer
    x = 8,091.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.