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Finding the Fourth Proportional to 9,673.30, 14,497.80 and 4,732.30

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Solution

The fourth proportional to 9,673.30, 14,497.80 and 4,732.30 is: 7,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.30 : 14,497.80 = 4,732.30 : x
  2. Step 2: Convert to fraction form
    9,673.30/14,497.80 = 4,732.30/x
  3. Step 3: Cross multiply
    9,673.30x = 14,497.80 × 4,732.30
  4. Step 4: Simplify right side
    9,673.30x = 68,607,938.94
  5. Step 5: Solve for x
    x = 68,607,938.94/9,673.30
  6. Step 6: Final answer
    x = 7,092.51

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