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Finding the Fourth Proportional to 9,388, 14,082 and 2,462.50

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Solution

The fourth proportional to 9,388, 14,082 and 2,462.50 is: 3,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388 : 14,082 = 2,462.50 : x
  2. Step 2: Convert to fraction form
    9,388/14,082 = 2,462.50/x
  3. Step 3: Cross multiply
    9,388x = 14,082 × 2,462.50
  4. Step 4: Simplify right side
    9,388x = 34,676,925
  5. Step 5: Solve for x
    x = 34,676,925/9,388
  6. Step 6: Final answer
    x = 3,693.75

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Why These Related Problems?

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