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Finding the Fourth Proportional to 9,915.68, 13,683.65 and 5,439.46

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Solution

The fourth proportional to 9,915.68, 13,683.65 and 5,439.46 is: 7,506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.68 : 13,683.65 = 5,439.46 : x
  2. Step 2: Convert to fraction form
    9,915.68/13,683.65 = 5,439.46/x
  3. Step 3: Cross multiply
    9,915.68x = 13,683.65 × 5,439.46
  4. Step 4: Simplify right side
    9,915.68x = 74,431,666.83
  5. Step 5: Solve for x
    x = 74,431,666.83/9,915.68
  6. Step 6: Final answer
    x = 7,506.46

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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.