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Finding the Fourth Proportional to 9,915.10, 14,867.94 and 5,756.38

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Solution

The fourth proportional to 9,915.10, 14,867.94 and 5,756.38 is: 8,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.10 : 14,867.94 = 5,756.38 : x
  2. Step 2: Convert to fraction form
    9,915.10/14,867.94 = 5,756.38/x
  3. Step 3: Cross multiply
    9,915.10x = 14,867.94 × 5,756.38
  4. Step 4: Simplify right side
    9,915.10x = 85,585,512.46
  5. Step 5: Solve for x
    x = 85,585,512.46/9,915.10
  6. Step 6: Final answer
    x = 8,631.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.