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Finding the Fourth Proportional to 9,807.28, 14,701.50 and 6,287.42

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Solution

The fourth proportional to 9,807.28, 14,701.50 and 6,287.42 is: 9,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.28 : 14,701.50 = 6,287.42 : x
  2. Step 2: Convert to fraction form
    9,807.28/14,701.50 = 6,287.42/x
  3. Step 3: Cross multiply
    9,807.28x = 14,701.50 × 6,287.42
  4. Step 4: Simplify right side
    9,807.28x = 92,434,541.88
  5. Step 5: Solve for x
    x = 92,434,541.88/9,807.28
  6. Step 6: Final answer
    x = 9,425.10

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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.