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Finding the Fourth Proportional to 9,723.84, 14,550.12 and 6,432

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Solution

The fourth proportional to 9,723.84, 14,550.12 and 6,432 is: 9,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.84 : 14,550.12 = 6,432 : x
  2. Step 2: Convert to fraction form
    9,723.84/14,550.12 = 6,432/x
  3. Step 3: Cross multiply
    9,723.84x = 14,550.12 × 6,432
  4. Step 4: Simplify right side
    9,723.84x = 93,586,371.84
  5. Step 5: Solve for x
    x = 93,586,371.84/9,723.84
  6. Step 6: Final answer
    x = 9,624.43

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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.