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Finding the Fourth Proportional to 6,915.69, 9,543.84 and 4,264.83

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Solution

The fourth proportional to 6,915.69, 9,543.84 and 4,264.83 is: 5,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.69 : 9,543.84 = 4,264.83 : x
  2. Step 2: Convert to fraction form
    6,915.69/9,543.84 = 4,264.83/x
  3. Step 3: Cross multiply
    6,915.69x = 9,543.84 × 4,264.83
  4. Step 4: Simplify right side
    6,915.69x = 40,702,855.15
  5. Step 5: Solve for x
    x = 40,702,855.15/6,915.69
  6. Step 6: Final answer
    x = 5,885.58

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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.