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Finding the Fourth Proportional to 9,935.47, 14,902.75 and 2,915.20

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Solution

The fourth proportional to 9,935.47, 14,902.75 and 2,915.20 is: 4,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.47 : 14,902.75 = 2,915.20 : x
  2. Step 2: Convert to fraction form
    9,935.47/14,902.75 = 2,915.20/x
  3. Step 3: Cross multiply
    9,935.47x = 14,902.75 × 2,915.20
  4. Step 4: Simplify right side
    9,935.47x = 43,444,496.80
  5. Step 5: Solve for x
    x = 43,444,496.80/9,935.47
  6. Step 6: Final answer
    x = 4,372.67

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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.