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Finding the Fourth Proportional to 9,913.84, 13,683.50 and 6,732.45

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Solution

The fourth proportional to 9,913.84, 13,683.50 and 6,732.45 is: 9,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.84 : 13,683.50 = 6,732.45 : x
  2. Step 2: Convert to fraction form
    9,913.84/13,683.50 = 6,732.45/x
  3. Step 3: Cross multiply
    9,913.84x = 13,683.50 × 6,732.45
  4. Step 4: Simplify right side
    9,913.84x = 92,123,471.16
  5. Step 5: Solve for x
    x = 92,123,471.16/9,913.84
  6. Step 6: Final answer
    x = 9,292.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.