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Finding the Fourth Proportional to 9,915.81, 13,683.82 and 5,724.06

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Solution

The fourth proportional to 9,915.81, 13,683.82 and 5,724.06 is: 7,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.81 : 13,683.82 = 5,724.06 : x
  2. Step 2: Convert to fraction form
    9,915.81/13,683.82 = 5,724.06/x
  3. Step 3: Cross multiply
    9,915.81x = 13,683.82 × 5,724.06
  4. Step 4: Simplify right side
    9,915.81x = 78,327,006.71
  5. Step 5: Solve for x
    x = 78,327,006.71/9,915.81
  6. Step 6: Final answer
    x = 7,899.20

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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.