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Finding the Fourth Proportional to 9,688.70, 14,532.33 and 5,790.17

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Solution

The fourth proportional to 9,688.70, 14,532.33 and 5,790.17 is: 8,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.70 : 14,532.33 = 5,790.17 : x
  2. Step 2: Convert to fraction form
    9,688.70/14,532.33 = 5,790.17/x
  3. Step 3: Cross multiply
    9,688.70x = 14,532.33 × 5,790.17
  4. Step 4: Simplify right side
    9,688.70x = 84,144,661.20
  5. Step 5: Solve for x
    x = 84,144,661.20/9,688.70
  6. Step 6: Final answer
    x = 8,684.82

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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.