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Finding the Fourth Proportional to 9,772.71, 14,667.27 and 4,230.30

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Solution

The fourth proportional to 9,772.71, 14,667.27 and 4,230.30 is: 6,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.71 : 14,667.27 = 4,230.30 : x
  2. Step 2: Convert to fraction form
    9,772.71/14,667.27 = 4,230.30/x
  3. Step 3: Cross multiply
    9,772.71x = 14,667.27 × 4,230.30
  4. Step 4: Simplify right side
    9,772.71x = 62,046,952.28
  5. Step 5: Solve for x
    x = 62,046,952.28/9,772.71
  6. Step 6: Final answer
    x = 6,349.00

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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.