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Finding the Fourth Proportional to 9,915.04, 13,683.18 and 5,935.38

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Solution

The fourth proportional to 9,915.04, 13,683.18 and 5,935.38 is: 8,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.04 : 13,683.18 = 5,935.38 : x
  2. Step 2: Convert to fraction form
    9,915.04/13,683.18 = 5,935.38/x
  3. Step 3: Cross multiply
    9,915.04x = 13,683.18 × 5,935.38
  4. Step 4: Simplify right side
    9,915.04x = 81,214,843.23
  5. Step 5: Solve for x
    x = 81,214,843.23/9,915.04
  6. Step 6: Final answer
    x = 8,191.08

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Why These Related Problems?

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