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Finding the Fourth Proportional to 6,915.33, 9,543.30 and 4,902.30

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Solution

The fourth proportional to 6,915.33, 9,543.30 and 4,902.30 is: 6,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.33 : 9,543.30 = 4,902.30 : x
  2. Step 2: Convert to fraction form
    6,915.33/9,543.30 = 4,902.30/x
  3. Step 3: Cross multiply
    6,915.33x = 9,543.30 × 4,902.30
  4. Step 4: Simplify right side
    6,915.33x = 46,784,119.59
  5. Step 5: Solve for x
    x = 46,784,119.59/6,915.33
  6. Step 6: Final answer
    x = 6,765.28

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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.