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Finding the Fourth Proportional to 9,827.84, 14,732.31 and 6,308.03

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Solution

The fourth proportional to 9,827.84, 14,732.31 and 6,308.03 is: 9,455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.84 : 14,732.31 = 6,308.03 : x
  2. Step 2: Convert to fraction form
    9,827.84/14,732.31 = 6,308.03/x
  3. Step 3: Cross multiply
    9,827.84x = 14,732.31 × 6,308.03
  4. Step 4: Simplify right side
    9,827.84x = 92,931,853.45
  5. Step 5: Solve for x
    x = 92,931,853.45/9,827.84
  6. Step 6: Final answer
    x = 9,455.98

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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.