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Finding the Fourth Proportional to 9,884.80, 14,827.11 and 4,037.31

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Solution

The fourth proportional to 9,884.80, 14,827.11 and 4,037.31 is: 6,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.80 : 14,827.11 = 4,037.31 : x
  2. Step 2: Convert to fraction form
    9,884.80/14,827.11 = 4,037.31/x
  3. Step 3: Cross multiply
    9,884.80x = 14,827.11 × 4,037.31
  4. Step 4: Simplify right side
    9,884.80x = 59,861,639.47
  5. Step 5: Solve for x
    x = 59,861,639.47/9,884.80
  6. Step 6: Final answer
    x = 6,055.93

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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.